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高中数学_解答题.html 85.14 KB
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linxin 提交于 2021-04-16 14:21 . 提交网页内容
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<div class="pt1">
<!--B1--><span class="qseq"></span>矩阵M=<span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal">
<table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 0"><div hassize="2"><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td><td><table style="text-align: left; width: 100%; margin-left: 1px; margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td>3</td><td style="padding-left:6px">6</td></tr><tr><td style="padding-top:6px">5</td><td style="padding-top:6px;padding-left:6px">2</td></tr></table></td><td style="font-size: 0"><div hassize="2"><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td></tr></table>
</span>有属于特征值λ<sub>1</sub>=8的一个特征向量e<sub>1</sub>=<span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 0"><div hassize="2"><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td><td><table style="text-align: left; width: 100%; margin-left: 1px; margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td>6</td></tr><tr><td style="padding-top:6px">5</td></tr></table></td><td style="font-size: 0"><div hassize="2"><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td></tr></table></span>,及属于特征值λ<sub>2</sub>=-3的一个特征向量e<sub>2</sub>=<span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 0"><div hassize="2"><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td><td><table style="text-align: left; width: 100%; margin-left: 1px; margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td>1</td></tr><tr><td style="padding-top:6px">-1</td></tr></table></td><td style="font-size: 0"><div hassize="2"><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td></tr></table></span><br />(1)对于向量<span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 90%"><div hassize="9"><div style="background: url('http://img.jyeoo.net/images/formula/part/8594L.png') repeat-x; width:1px; height:5px;float:left;overflow:hidden" muststretch="h"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/8594.png') no-repeat; width:9px; height:5px;float:left;overflow:hidden"></div></div></td></tr><tr><td>α</td></tr></table>=<table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 0"><div hassize="2"><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td><td><table style="text-align: left; width: 100%; margin-left: 1px; margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td>3</td></tr><tr><td style="padding-top:6px">8</td></tr></table></td><td style="font-size: 0"><div hassize="2"><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td></tr></table></span>,记做<span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 90%"><div hassize="9"><div style="background: url('http://img.jyeoo.net/images/formula/part/8594L.png') repeat-x; width:1px; height:5px;float:left;overflow:hidden" muststretch="h"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/8594.png') no-repeat; width:9px; height:5px;float:left;overflow:hidden"></div></div></td></tr><tr><td>α</td></tr></table>=<span><span>e</span><span style="vertical-align:sub;font-size:90%">1</span></span>-3<span><span>e</span><span style="vertical-align:sub;font-size:90%">2</span></span></span>,利用这一表达式计算<span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><span><span>M</span><span style="vertical-align:super;font-size:90%">3</span></span><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 90%"><div hassize="9"><div style="background: url('http://img.jyeoo.net/images/formula/part/8594L.png') repeat-x; width:1px; height:5px;float:left;overflow:hidden" muststretch="h"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/8594.png') no-repeat; width:9px; height:5px;float:left;overflow:hidden"></div></div></td></tr><tr><td>α</td></tr></table></span><span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><span><span>M</span><span style="vertical-align:super;font-size:90%">50</span></span><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 90%"><div hassize="9"><div style="background: url('http://img.jyeoo.net/images/formula/part/8594L.png') repeat-x; width:1px; height:5px;float:left;overflow:hidden" muststretch="h"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/8594.png') no-repeat; width:9px; height:5px;float:left;overflow:hidden"></div></div></td></tr><tr><td>α</td></tr></table></span><br />(2)对于向量<span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 90%"><div hassize="9"><div style="background: url('http://img.jyeoo.net/images/formula/part/8594L.png') repeat-x; width:1px; height:5px;float:left;overflow:hidden" muststretch="h"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/8594.png') no-repeat; width:9px; height:5px;float:left;overflow:hidden"></div></div></td></tr><tr><td>β</td></tr></table>=<table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 0"><div hassize="2"><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td><td><table style="text-align: left; width: 100%; margin-left: 1px; margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td>8</td></tr><tr><td style="padding-top:6px">3</td></tr></table></td><td style="font-size: 0"><div hassize="2"><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td></tr></table></span>,计算 <span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><span><span>M</span><span style="vertical-align:super;font-size:90%">5</span></span><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 90%"><div hassize="9"><div style="background: url('http://img.jyeoo.net/images/formula/part/8594L.png') repeat-x; width:1px; height:5px;float:left;overflow:hidden" muststretch="h"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/8594.png') no-repeat; width:9px; height:5px;float:left;overflow:hidden"></div></div></td></tr><tr><td>β</td></tr></table></span><span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><span><span>M</span><span style="vertical-align:super;font-size:90%">100</span></span><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 90%"><div hassize="9"><div style="background: url('http://img.jyeoo.net/images/formula/part/8594L.png') repeat-x; width:1px; height:5px;float:left;overflow:hidden" muststretch="h"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/8594.png') no-repeat; width:9px; height:5px;float:left;overflow:hidden"></div></div></td></tr><tr><td>β</td></tr></table></span><!--E1-->
</div><div class="ptline"></div><div class="pt3"><!--B3--><em>【考点】</em><a href="http://www.jyeoo.com/math2/ques/detail/8177a246-2535-4c18-af98-d383a9b52a4e">特征值与特征向量的计算</a><!--E3--></div><div class="pt4"><!--B4--><em>【专题】</em>矩阵和变换.<!--E4--></div><div class="pt5"><!--B5--><em>【分析】</em>本题(1)可以将向量<span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 90%"><div hassize="9"><div style="background: url('http://img.jyeoo.net/images/formula/part/8594L.png') repeat-x; width:1px; height:5px;float:left;overflow:hidden" muststretch="h"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/8594.png') no-repeat; width:9px; height:5px;float:left;overflow:hidden"></div></div></td></tr><tr><td>α</td></tr></table>=<table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 0"><div hassize="2"><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td><td><table style="text-align: left; width: 100%; margin-left: 1px; margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td>3</td></tr><tr><td style="padding-top:6px">8</td></tr></table></td><td style="font-size: 0"><div hassize="2"><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td></tr></table></span>转化为向量e<sub>1</sub>=<span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 0"><div hassize="2"><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td><td><table style="text-align: left; width: 100%; margin-left: 1px; margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td>6</td></tr><tr><td style="padding-top:6px">5</td></tr></table></td><td style="font-size: 0"><div hassize="2"><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td></tr></table></span>、向量e<sub>2</sub>=<span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 0"><div hassize="2"><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td><td><table style="text-align: left; width: 100%; margin-left: 1px; margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td>1</td></tr><tr><td style="padding-top:6px">-1</td></tr></table></td><td style="font-size: 0"><div hassize="2"><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td></tr></table></span>的线性组合,再利用特征值的计算规律,求出算<span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><span><span>M</span><span style="vertical-align:super;font-size:90%">3</span></span><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 90%"><div hassize="9"><div style="background: url('http://img.jyeoo.net/images/formula/part/8594L.png') repeat-x; width:1px; height:5px;float:left;overflow:hidden" muststretch="h"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/8594.png') no-repeat; width:9px; height:5px;float:left;overflow:hidden"></div></div></td></tr><tr><td>α</td></tr></table></span><span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><span><span>M</span><span style="vertical-align:super;font-size:90%">50</span></span><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 90%"><div hassize="9"><div style="background: url('http://img.jyeoo.net/images/formula/part/8594L.png') repeat-x; width:1px; height:5px;float:left;overflow:hidden" muststretch="h"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/8594.png') no-repeat; width:9px; height:5px;float:left;overflow:hidden"></div></div></td></tr><tr><td>α</td></tr></table></span>;(2)类似(1)的计算,计算 <span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><span><span>M</span><span style="vertical-align:super;font-size:90%">5</span></span><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 90%"><div hassize="9"><div style="background: url('http://img.jyeoo.net/images/formula/part/8594L.png') repeat-x; width:1px; height:5px;float:left;overflow:hidden" muststretch="h"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/8594.png') no-repeat; width:9px; height:5px;float:left;overflow:hidden"></div></div></td></tr><tr><td>β</td></tr></table></span><span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><span><span>M</span><span style="vertical-align:super;font-size:90%">100</span></span><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 90%"><div hassize="9"><div style="background: url('http://img.jyeoo.net/images/formula/part/8594L.png') repeat-x; width:1px; height:5px;float:left;overflow:hidden" muststretch="h"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/8594.png') no-repeat; width:9px; height:5px;float:left;overflow:hidden"></div></div></td></tr><tr><td>β</td></tr></table></span>,得到本题结论.<!--E5--></div><div class="pt6"><!--B6--><em>【解答】</em>解:(1)∵矩阵M=<span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 0"><div hassize="2"><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td><td><table style="text-align: left; width: 100%; margin-left: 1px; margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td>3</td><td style="padding-left:6px">6</td></tr><tr><td style="padding-top:6px">5</td><td style="padding-top:6px;padding-left:6px">2</td></tr></table></td><td style="font-size: 0"><div hassize="2"><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td></tr></table></span>有属于特征值λ<sub>1</sub>=8的一个特征向量e<sub>1</sub>=<span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 0"><div hassize="2"><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td><td><table style="text-align: left; width: 100%; margin-left: 1px; margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td>6</td></tr><tr><td style="padding-top:6px">5</td></tr></table></td><td style="font-size: 0"><div hassize="2"><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td></tr></table></span>,及属于特征值λ<sub>2</sub>=-3的一个特征向量e<sub>2</sub>=<span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 0"><div hassize="2"><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td><td><table style="text-align: left; width: 100%; margin-left: 1px; margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td>1</td></tr><tr><td style="padding-top:6px">-1</td></tr></table></td><td style="font-size: 0"><div hassize="2"><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td></tr></table></span><br /><span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 0"><div hassize="2"><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td><td><table style="text-align: left; width: 100%; margin-left: 1px; margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td>3</td><td style="padding-left:6px">6</td></tr><tr><td style="padding-top:6px">5</td><td style="padding-top:6px;padding-left:6px">2</td></tr></table></td><td style="font-size: 0"><div hassize="2"><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td></tr></table></span>×<span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 0"><div hassize="2"><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td><td><table style="text-align: left; width: 100%; margin-left: 1px; margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td>6</td></tr><tr><td style="padding-top:6px">5</td></tr></table></td><td style="font-size: 0"><div hassize="2"><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td></tr></table></span>=8×<span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 0"><div hassize="2"><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td><td><table style="text-align: left; width: 100%; margin-left: 1px; margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td>6</td></tr><tr><td style="padding-top:6px">5</td></tr></table></td><td style="font-size: 0"><div hassize="2"><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td></tr></table></span><span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 0"><div hassize="2"><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td><td><table style="text-align: left; width: 100%; margin-left: 1px; margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td>3</td><td style="padding-left:6px">6</td></tr><tr><td style="padding-top:6px">5</td><td style="padding-top:6px;padding-left:6px">2</td></tr></table></td><td style="font-size: 0"><div hassize="2"><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td></tr></table></span>×<span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 0"><div hassize="2"><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td><td><table style="text-align: left; width: 100%; margin-left: 1px; margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td>1</td></tr><tr><td style="padding-top:6px">-1</td></tr></table></td><td style="font-size: 0"><div hassize="2"><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td></tr></table></span>=-3×<span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 0"><div hassize="2"><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td><td><table style="text-align: left; width: 100%; margin-left: 1px; margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td>1</td></tr><tr><td style="padding-top:6px">-1</td></tr></table></td><td style="font-size: 0"><div hassize="2"><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td></tr></table></span><br /><span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 0"><div hassize="2"><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td><td><table style="text-align: left; width: 100%; margin-left: 1px; margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td>3</td></tr><tr><td style="padding-top:6px">8</td></tr></table></td><td style="font-size: 0"><div hassize="2"><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td></tr></table></span>=<span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 0"><div hassize="2"><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td><td><table style="text-align: left; width: 100%; margin-left: 1px; margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td>6</td></tr><tr><td style="padding-top:6px">5</td></tr></table></td><td style="font-size: 0"><div hassize="2"><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td></tr></table></span>-3×<span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 0"><div hassize="2"><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td><td><table style="text-align: left; width: 100%; margin-left: 1px; margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td>1</td></tr><tr><td style="padding-top:6px">-1</td></tr></table></td><td style="font-size: 0"><div hassize="2"><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td></tr></table></span><br /><span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><span><span>M</span><span style="vertical-align:super;font-size:90%">3</span></span><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 90%"><div hassize="9"><div style="background: url('http://img.jyeoo.net/images/formula/part/8594L.png') repeat-x; width:1px; height:5px;float:left;overflow:hidden" muststretch="h"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/8594.png') no-repeat; width:9px; height:5px;float:left;overflow:hidden"></div></div></td></tr><tr><td>α</td></tr></table></span>=M<sup>3</sup><span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 0"><div hassize="2"><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td><td><table style="text-align: left; width: 100%; margin-left: 1px; margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td>6</td></tr><tr><td style="padding-top:6px">5</td></tr></table></td><td style="font-size: 0"><div hassize="2"><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td></tr></table></span>-3×<span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 0"><div hassize="2"><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td><td><table style="text-align: left; width: 100%; margin-left: 1px; margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td>1</td></tr><tr><td style="padding-top:6px">-1</td></tr></table></td><td style="font-size: 0"><div hassize="2"><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td></tr></table></span>)=M<sup>3</sup>×<span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 0"><div hassize="2"><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td><td><table style="text-align: left; width: 100%; margin-left: 1px; margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td>6</td></tr><tr><td style="padding-top:6px">5</td></tr></table></td><td style="font-size: 0"><div hassize="2"><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td></tr></table></span>-3×M<sup>3</sup>×<span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 0"><div hassize="2"><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td><td><table style="text-align: left; width: 100%; margin-left: 1px; margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td>1</td></tr><tr><td style="padding-top:6px">-1</td></tr></table></td><td style="font-size: 0"><div hassize="2"><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td></tr></table></span>=8<sup>3</sup>×<span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 0"><div hassize="2"><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td><td><table style="text-align: left; width: 100%; margin-left: 1px; margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td>6</td></tr><tr><td style="padding-top:6px">5</td></tr></table></td><td style="font-size: 0"><div hassize="2"><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td></tr></table></span>-3×(-3)<sup>3</sup>×<span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 0"><div hassize="2"><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td><td><table style="text-align: left; width: 100%; margin-left: 1px; margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td>1</td></tr><tr><td style="padding-top:6px">-1</td></tr></table></td><td style="font-size: 0"><div hassize="2"><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td></tr></table></span>=<span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 0"><div hassize="2"><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td><td><table style="text-align: left; width: 100%; margin-left: 1px; margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td><span><span>8</span><span style="vertical-align:super;font-size:90%">3</span></span>+<span><span>3</span><span style="vertical-align:super;font-size:90%">4</span></span></td></tr><tr><td style="padding-top:6px"><span><span>8</span><span style="vertical-align:super;font-size:90%">3</span></span>-<span><span>3</span><span style="vertical-align:super;font-size:90%">4</span></span></td></tr></table></td><td style="font-size: 0"><div hassize="2"><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td></tr></table></span>=<span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 0"><div hassize="2"><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td><td><table style="text-align: left; width: 100%; margin-left: 1px; margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td>3153</td></tr><tr><td style="padding-top:6px">2479</td></tr></table></td><td style="font-size: 0"><div hassize="2"><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td></tr></table></span><br /><span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><span><span>M</span><span style="vertical-align:super;font-size:90%">50</span></span><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 90%"><div hassize="9"><div style="background: url('http://img.jyeoo.net/images/formula/part/8594L.png') repeat-x; width:1px; height:5px;float:left;overflow:hidden" muststretch="h"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/8594.png') no-repeat; width:9px; height:5px;float:left;overflow:hidden"></div></div></td></tr><tr><td>α</td></tr></table></span>=M<sup>50</sup><span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 0"><div hassize="2"><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td><td><table style="text-align: left; width: 100%; margin-left: 1px; margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td>6</td></tr><tr><td style="padding-top:6px">5</td></tr></table></td><td style="font-size: 0"><div hassize="2"><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td></tr></table></span>-3×<span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 0"><div hassize="2"><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td><td><table style="text-align: left; width: 100%; margin-left: 1px; margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td>1</td></tr><tr><td style="padding-top:6px">-1</td></tr></table></td><td style="font-size: 0"><div hassize="2"><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td></tr></table></span>)=M<sup>50</sup>×<span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 0"><div hassize="2"><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td><td><table style="text-align: left; width: 100%; margin-left: 1px; margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td>6</td></tr><tr><td style="padding-top:6px">5</td></tr></table></td><td style="font-size: 0"><div hassize="2"><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td></tr></table></span>-3×M<sup>50</sup>×<span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 0"><div hassize="2"><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td><td><table style="text-align: left; width: 100%; margin-left: 1px; margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td>1</td></tr><tr><td style="padding-top:6px">-1</td></tr></table></td><td style="font-size: 0"><div hassize="2"><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td></tr></table></span>=8<sup>50</sup>×<span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 0"><div hassize="2"><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td><td><table style="text-align: left; width: 100%; margin-left: 1px; margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td>6</td></tr><tr><td style="padding-top:6px">5</td></tr></table></td><td style="font-size: 0"><div hassize="2"><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td></tr></table></span>-3×(-3)<sup>50</sup>×<span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 0"><div hassize="2"><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td><td><table style="text-align: left; width: 100%; margin-left: 1px; margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td>1</td></tr><tr><td style="padding-top:6px">-1</td></tr></table></td><td style="font-size: 0"><div hassize="2"><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td></tr></table></span>=<span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 0"><div hassize="2"><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td><td><table style="text-align: left; width: 100%; margin-left: 1px; margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td><span><span>8</span><span style="vertical-align:super;font-size:90%">50</span></span>+(-3<span><span>)</span><span style="vertical-align:super;font-size:90%">51</span></span></td></tr><tr><td style="padding-top:6px"><span><span>8</span><span style="vertical-align:super;font-size:90%">50</span></span>-(-3<span><span>)</span><span style="vertical-align:super;font-size:90%">51</span></span></td></tr></table></td><td style="font-size: 0"><div hassize="2"><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td></tr></table></span><br />(2)∵<span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 0"><div hassize="2"><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td><td><table style="text-align: left; width: 100%; margin-left: 1px; margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td>8</td></tr><tr><td style="padding-top:6px">3</td></tr></table></td><td style="font-size: 0"><div hassize="2"><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td></tr></table></span>=<span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 0"><div hassize="2"><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td><td><table style="text-align: left; width: 100%; margin-left: 1px; margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td>6</td></tr><tr><td style="padding-top:6px">5</td></tr></table></td><td style="font-size: 0"><div hassize="2"><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td></tr></table></span>+2×<span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 0"><div hassize="2"><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td><td><table style="text-align: left; width: 100%; margin-left: 1px; margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td>1</td></tr><tr><td style="padding-top:6px">-1</td></tr></table></td><td style="font-size: 0"><div hassize="2"><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td></tr></table></span><br /><br /><span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><span><span>M</span><span style="vertical-align:super;font-size:90%">5</span></span><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 90%"><div hassize="9"><div style="background: url('http://img.jyeoo.net/images/formula/part/8594L.png') repeat-x; width:1px; height:5px;float:left;overflow:hidden" muststretch="h"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/8594.png') no-repeat; width:9px; height:5px;float:left;overflow:hidden"></div></div></td></tr><tr><td>β</td></tr></table></span>=M<sup>5</sup><span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 0"><div hassize="2"><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td><td><table style="text-align: left; width: 100%; margin-left: 1px; margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td>6</td></tr><tr><td style="padding-top:6px">5</td></tr></table></td><td style="font-size: 0"><div hassize="2"><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td></tr></table></span>+2×<span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 0"><div hassize="2"><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td><td><table style="text-align: left; width: 100%; margin-left: 1px; margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td>1</td></tr><tr><td style="padding-top:6px">-1</td></tr></table></td><td style="font-size: 0"><div hassize="2"><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td></tr></table></span>)=M<sup>5</sup>×<span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 0"><div hassize="2"><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td><td><table style="text-align: left; width: 100%; margin-left: 1px; margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td>6</td></tr><tr><td style="padding-top:6px">5</td></tr></table></td><td style="font-size: 0"><div hassize="2"><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td></tr></table></span>+2×M<sup>5</sup>×<span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 0"><div hassize="2"><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td><td><table style="text-align: left; width: 100%; margin-left: 1px; margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td>1</td></tr><tr><td style="padding-top:6px">-1</td></tr></table></td><td style="font-size: 0"><div hassize="2"><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td></tr></table></span>=8<sup>5</sup>×<span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 0"><div hassize="2"><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td><td><table style="text-align: left; width: 100%; margin-left: 1px; margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td>6</td></tr><tr><td style="padding-top:6px">5</td></tr></table></td><td style="font-size: 0"><div hassize="2"><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td></tr></table></span>+2×(-3)<sup>5</sup>×<span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 0"><div hassize="2"><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td><td><table style="text-align: left; width: 100%; margin-left: 1px; margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td>1</td></tr><tr><td style="padding-top:6px">-1</td></tr></table></td><td style="font-size: 0"><div hassize="2"><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td></tr></table></span>=<span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 0"><div hassize="2"><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td><td><table style="text-align: left; width: 100%; margin-left: 1px; margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td>196122</td></tr><tr><td style="padding-top:6px">164326</td></tr></table></td><td style="font-size: 0"><div hassize="2"><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td></tr></table></span><br /><br /><span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><span><span>M</span><span style="vertical-align:super;font-size:90%">100</span></span><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 90%"><div hassize="9"><div style="background: url('http://img.jyeoo.net/images/formula/part/8594L.png') repeat-x; width:1px; height:5px;float:left;overflow:hidden" muststretch="h"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/8594.png') no-repeat; width:9px; height:5px;float:left;overflow:hidden"></div></div></td></tr><tr><td>β</td></tr></table></span>=M<sup>100</sup><span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 0"><div hassize="2"><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td><td><table style="text-align: left; width: 100%; margin-left: 1px; margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td>6</td></tr><tr><td style="padding-top:6px">5</td></tr></table></td><td style="font-size: 0"><div hassize="2"><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td></tr></table></span>+2×<span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 0"><div hassize="2"><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td><td><table style="text-align: left; width: 100%; margin-left: 1px; margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td>1</td></tr><tr><td style="padding-top:6px">-1</td></tr></table></td><td style="font-size: 0"><div hassize="2"><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td></tr></table></span>)=M<sup>100</sup>×<span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 0"><div hassize="2"><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td><td><table style="text-align: left; width: 100%; margin-left: 1px; margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td>6</td></tr><tr><td style="padding-top:6px">5</td></tr></table></td><td style="font-size: 0"><div hassize="2"><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td></tr></table></span>+2×M<sup>100</sup>×<span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 0"><div hassize="2"><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td><td><table style="text-align: left; width: 100%; margin-left: 1px; margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td>1</td></tr><tr><td style="padding-top:6px">-1</td></tr></table></td><td style="font-size: 0"><div hassize="2"><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td></tr></table></span>=8<sup>100</sup>×<span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 0"><div hassize="2"><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td><td><table style="text-align: left; width: 100%; margin-left: 1px; margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td>6</td></tr><tr><td style="padding-top:6px">5</td></tr></table></td><td style="font-size: 0"><div hassize="2"><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td></tr></table></span>+2×(-3)<sup>100</sup>×<span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 0"><div hassize="2"><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td><td><table style="text-align: left; width: 100%; margin-left: 1px; margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td>1</td></tr><tr><td style="padding-top:6px">-1</td></tr></table></td><td style="font-size: 0"><div hassize="2"><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td></tr></table></span>=<span dealflag="1" class="MathJye" mathtag="math" style="whiteSpace:nowrap;wordSpacing:normal;wordWrap:normal"><table style="margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td style="font-size: 0"><div hassize="2"><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td><td><table style="text-align: left; width: 100%; margin-left: 1px; margin-right: 1px" cellspacing="-1" cellpadding="-1"><tr><td><span><span>8</span><span style="vertical-align:super;font-size:90%">100</span></span>+2×<span><span>3</span><span style="vertical-align:super;font-size:90%">100</span></span></td></tr><tr><td style="padding-top:6px"><span><span>8</span><span style="vertical-align:super;font-size:90%">100</span></span>-2×<span><span>3</span><span style="vertical-align:super;font-size:90%">100</span></span></td></tr></table></td><td style="font-size: 0"><div hassize="2"><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91M.png') repeat-y; width:7px; height:1px;overflow:hidden" muststretch="v"></div><div class="flipv" style="background: url('http://img.jyeoo.net/images/formula/part/91.png') no-repeat; width:7px; height:1px;overflow:hidden"></div></div></td></tr></table></span><!--E6--></div><div class="pt7"><!--B7--><em>【点评】</em>本题考查的是利用矩阵的特征值和特征向量,进行矩阵与向量的积的运算,本题难度不大,属于基础题.<!--E7--></div><div class="pt9"><span class="qcp">声明:本试题解析著作权属菁优网所有,未经书面同意,不得复制发布。</span><!--B9--><span>答题:王老师 2015/1/4</span><!--E9--></div>
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