线性代数 理论与方法体系构建.rar

  • deinda
    了解作者
  • Others
    开发工具
  • 1.8MB
    文件大小
  • rar
    文件格式
  • 0
    收藏次数
  • 1 积分
    下载积分
  • 1
    下载次数
  • 2019-05-08 21:16
    上传日期
学习线性代数必备,非常适合初学者,适合学习机器学习和深度学习的
线性代数 理论与方法体系构建.rar
  • 线性代数 理论与方法体系构建.pdf
    2.9MB
内容介绍
<html xmlns="http://www.w3.org/1999/xhtml"> <head> <meta charset="utf-8"> <meta name="generator" content="pdf2htmlEX"> <meta http-equiv="X-UA-Compatible" content="IE=edge,chrome=1"> <link rel="stylesheet" href="https://static.pudn.com/base/css/base.min.css"> <link rel="stylesheet" href="https://static.pudn.com/base/css/fancy.min.css"> <link rel="stylesheet" href="https://static.pudn.com/prod/directory_preview_static/624f4b1b74bc5c01052e6b85/raw.css"> <script src="https://static.pudn.com/base/js/compatibility.min.js"></script> <script src="https://static.pudn.com/base/js/pdf2htmlEX.min.js"></script> <script> try{ pdf2htmlEX.defaultViewer = new pdf2htmlEX.Viewer({}); }catch(e){} </script> <title></title> </head> <body> <div id="sidebar" style="display: none"> <div id="outline"> </div> </div> <div id="pf1" class="pf w0 h0" data-page-no="1"><div class="pc pc1 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="https://static.pudn.com/prod/directory_preview_static/624f4b1b74bc5c01052e6b85/bg1.jpg"><div class="t m0 x1 h2 y1 ff1 fs0 fc0 sc0 ls0 ws0"><span class="fc1 sc0"> </span></div><div class="t m0 x1 h2 y2 ff1 fs0 fc0 sc0 ls0 ws0"><span class="fc1 sc0"> </span></div><div class="t m0 x1 h2 y3 ff1 fs0 fc0 sc0 ls0 ws0"><span class="fc1 sc0"> </span></div><div class="t m0 x1 h2 y4 ff1 fs0 fc0 sc0 ls0 ws0"><span class="fc1 sc0"> </span></div><div class="t m0 x1 h2 y5 ff1 fs0 fc0 sc0 ls0 ws0"><span class="fc1 sc0"> </span></div><div class="t m0 x1 h2 y6 ff1 fs0 fc0 sc0 ls0 ws0"><span class="fc1 sc0"> </span></div><div class="t m0 x1 h2 y7 ff1 fs0 fc0 sc0 ls0 ws0"><span class="fc1 sc0"> </span></div><div class="t m0 x1 h2 y8 ff1 fs0 fc0 sc0 ls0 ws0"><span class="fc1 sc0"> </span></div><div class="t m0 x1 h2 y9 ff1 fs0 fc0 sc0 ls0 ws0"><span class="fc1 sc0"> </span></div><div class="t m0 x1 h2 ya ff1 fs0 fc0 sc0 ls0 ws0"><span class="fc1 sc0"> </span></div><div class="t m0 x1 h2 yb ff1 fs0 fc0 sc0 ls0 ws0"><span class="fc1 sc0"> </span></div><div class="t m0 x1 h2 yc ff1 fs0 fc0 sc0 ls0 ws0"><span class="fc1 sc0"> </span></div><div class="t m0 x1 h2 yd ff1 fs0 fc0 sc0 ls0 ws0"><span class="fc1 sc0"> </span></div><div class="t m0 x1 h2 ye ff1 fs0 fc0 sc0 ls0 ws0"><span class="fc1 sc0"> </span></div><div class="t m0 x1 h2 yf ff1 fs0 fc0 sc0 ls0 ws0"><span class="fc1 sc0"> </span></div><div class="t m0 x1 h2 y10 ff1 fs0 fc0 sc0 ls0 ws0"><span class="fc1 sc0"> </span></div><div class="t m0 x1 h2 y11 ff1 fs0 fc0 sc0 ls0 ws0"><span class="fc1 sc0"> </span></div><div class="t m0 x1 h2 y12 ff1 fs0 fc0 sc0 ls0 ws0"><span class="fc1 sc0"> </span></div><div class="t m0 x1 h2 y13 ff1 fs0 fc0 sc0 ls0 ws0"><span class="fc1 sc0"> </span></div><div class="t m0 x1 h2 y14 ff1 fs0 fc0 sc0 ls0 ws0"><span class="fc1 sc0"> </span></div><div class="t m0 x1 h2 y15 ff1 fs0 fc0 sc0 ls0 ws0"><span class="fc1 sc0"> </span></div><div class="t m0 x1 h2 y16 ff1 fs0 fc0 sc0 ls0 ws0"><span class="fc1 sc0"> </span></div><div class="t m0 x1 h2 y17 ff1 fs0 fc0 sc0 ls0 ws0"><span class="fc1 sc0"> </span></div><div class="t m0 x1 h2 y18 ff1 fs0 fc0 sc0 ls0 ws0"><span class="fc1 sc0"> </span></div><div class="t m0 x1 h2 y19 ff1 fs0 fc0 sc0 ls0 ws0"><span class="fc1 sc0"> </span></div><div class="t m0 x1 h2 y1a ff1 fs0 fc0 sc0 ls0 ws0"><span class="fc1 sc0"> </span></div><div class="t m0 x1 h2 y1b ff1 fs0 fc0 sc0 ls0 ws0"><span class="fc1 sc0"> </span></div><div class="t m0 x1 h2 y1c ff1 fs0 fc0 sc0 ls0 ws0"><span class="fc1 sc0"> </span></div><div class="t m0 x1 h2 y1d ff1 fs0 fc0 sc0 ls0 ws0"><span class="fc1 sc0"> </span></div><div class="t m0 x1 h2 y1e ff1 fs0 fc0 sc0 ls0 ws0"> </div><div class="t m0 x1 h2 y1f ff1 fs0 fc0 sc0 ls0 ws0"> </div><div class="t m0 x1 h2 y20 ff1 fs0 fc0 sc0 ls0 ws0"> </div><div class="c x2 y21 w2 h3"><div class="t m0 x3 h4 y22 ff2 fs0 fc0 sc1 ls0 ws0">&#29305;&#24449;&#20540;&#19982;&#29305;&#24449;&#21521;&#37327;<span class="ff3 sc0">&#26159;<span class="_ _0"></span>&#32447;&#24615;&#20195;&#25968;&#30340;<span class="_ _0"></span>&#26680;&#24515;&#20869;&#23481;<span class="_ _0"></span>&#65292;<span class="_ _1"></span>&#38656;&#35201;&#35201;&#25484;<span class="_ _0"></span>&#25569;<span class="ff1">: </span></span></div><div class="t m0 x3 h4 y23 ff1 fs0 fc0 sc0 ls1 ws0">1,<span class="ff3 sc1 ls0">&#29087;&#32451;&#25484;&#25569;<span class="sc0">&#20854;<span class="_ _0"></span><span class="sc1">&#35745;&#31639;<span class="ff1 sc0">. </span></span></span></span></div><div class="t m0 x3 h5 y24 ff1 fs0 fc0 sc0 ls1 ws0">2,<span class="ff3 sc1 ls0">&#29087;&#32451;&#25484;&#25569;<span class="sc0">&#20854;<span class="_ _0"></span><span class="sc1">&#24615;&#36136;<span class="ff1 sc0">(</span>&#23588;&#20854;<span class="sc0">&#35201;&#27880;&#24847;&#25484;&#25569;</span><span class="fs1">&#23454;&#23545;&#31216;&#30697;&#38453;</span><span class="sc0 ls2">&#30340;&#24615;&#36136;<span class="ff1 ls0">) </span></span></span></span></span></div><div class="t m0 x3 h4 y25 ff1 fs0 fc0 sc0 ls1 ws0">3.<span class="ff3 sc1 ls0">&#20250;<span class="sc0">&#36890;&#36807;&#20854;<span class="_ _0"></span><span class="sc1">&#21028;&#26029;<span class="sc0">&#30697;&#38453;&#26159;&#21542;&#21487;&#20197;<span class="_ _0"></span><span class="sc1">&#23545;&#35282;&#21270;<span class="sc0">&#21450;&#30697;&#38453;&#23545;&#35282;&#21270;<span class="_ _0"></span><span class="sc1">&#36807;&#31243;<span class="ff1 sc0"> </span></span></span></span></span></span></span></span></div></div><div class="t m0 x4 h6 y26 ff4 fs0 fc0 sc0 ls0 ws0">1.<span class="ff5 fs2 sc1">&#20004;&#32452;&#31561;&#20215;&#20294;&#20010;&#25968;&#19981;&#19968;&#23450;&#31561;</span><span class="ff1"> </span></div><div class="t m0 x4 h6 y27 ff4 fs0 fc0 sc0 ls0 ws0">2.<span class="ff5 fs2 sc1">&#19968;&#20010;&#32452;&#19982;&#23427;&#30340;&#26497;&#22823;&#32452;&#31561;&#20215;</span><span class="ff1"> </span></div><div class="t m0 x4 h6 y28 ff4 fs0 fc0 sc0 ls0 ws0">3.<span class="ff5 fs2 sc1">&#23558;&#30697;&#38453;<span class="_ _2"> </span><span class="ff6 sc0">A<span class="_ _2"> </span></span>&#21521;&#37327;&#21270;<span class="ff7">,</span>&#33509;&#32463;&#36807;&#26377;&#38480;&#27425;</span></div><div class="t m0 x4 h7 y29 ff5 fs2 fc0 sc1 ls0 ws0">&#21021;&#31561;&#34892;&#21464;&#25442;&#21270;&#20026;<span class="_ _2"> </span><span class="ff6 sc0">B</span><span class="ff7">,<span class="_ _0"></span><span class="ff5">&#21017;&#20004;&#21015;&#32452;&#31561;&#20215;<span class="ff7"> </span></span></span></div><div class="c x5 y2a w3 h8"><div class="t m0 x2 h9 y2b ff8 fs1 fc0 sc1 ls0 ws0">&#34892;&#21015;&#24335;&#29702;&#35770;<span class="ff9"> </span></div><div class="t m0 x3 ha y2c ffa fs0 fc0 sc1 ls0 ws0">&#19968;&#12289;&#34892;&#21015;&#24335;&#30340;&#22522;&#26412;<span class="_ _0"></span>&#27010;&#24565;<span class="ffb"> </span></div><div class="t m0 x3 h4 y2d ff3 fs0 fc0 sc0 ls0 ws0">&#36870;&#24207;<span class="ff1"> </span></div><div class="t m0 x3 h4 y2e ff3 fs0 fc0 sc0 ls0 ws0">&#36870;&#24207;&#25968;<span class="ff1"> </span></div><div class="t m0 x3 h4 y2f ff3 fs0 fc0 sc0 ls0 ws0">&#23545;&#25442;<span class="ff1"> </span></div><div class="t m0 x3 h4 y30 ff3 fs0 fc0 sc0 ls0 ws0">&#34892;&#21015;&#24335;<span class="ff1"> </span></div><div class="t m0 x3 h4 y31 ff3 fs0 fc0 sc0 ls0 ws0">&#20313;&#23376;&#24335;&#19982;&#20195;&#25968;&#20313;<span class="_ _0"></span>&#23376;&#24335;<span class="ff1"> </span></div><div class="t m0 x3 ha y32 ffa fs0 fc0 sc1 ls0 ws0">&#20108;&#12289;&#29305;&#27530;&#30340;&#39640;&#38454;&#34892;<span class="_ _0"></span>&#21015;&#24335;<span class="ffb"> </span></div><div class="t m0 x3 h6 y33 ff3 fs0 fc0 sc0 ls0 ws0">&#19978;<span class="ff4">(</span>&#19979;<span class="ff4">)</span><span class="ls2">&#19977;&#35282;</span><span class="ff4"> </span></div><div class="t m0 x3 h4 y34 ff3 fs0 fc0 sc0 ls0 ws0">&#20027;&#23545;&#35282;&#32447;<span class="ff1"> </span></div><div class="t m0 x3 h6 y35 ff3 fs0 fc0 sc0 ls0 ws0">&#21103;&#23545;&#35282;<span class="ff1">=<span class="ff4">(</span>-1<span class="ff4">)</span></span></div><div class="t m0 x6 hb y36 ff4 fs3 fc0 sc0 ls0 ws0">(1/2)n(n-<span class="ls3">1)</span></div><div class="t m0 x7 hc y35 ff3 fs4 fc0 sc0 ls0 ws0">&#21103;&#23545;&#35282;&#31215;<span class="ff1"> </span></div><div class="t m0 x3 h4 y37 ff3 fs0 fc0 sc0 ls0 ws0">&#33539;&#24503;&#33945;&#34892;&#21015;&#24335;<span class="_ _0"></span><span class="ff1"> </span></div><div class="t m0 x3 h4 y38 ff3 fs0 fc0 sc0 ls0 ws0">&#20998;&#22359;&#34892;&#21015;&#24335;<span class="ff1"> </span></div><div class="t m0 x3 ha y39 ffa fs0 fc0 sc1 ls0 ws0">&#19977;&#12289;&#34892;&#21015;&#24335;&#30340;&#24615;&#36136;<span class="_ _0"></span><span class="ffb"> </span></div><div class="t m0 x3 h4 y3a ff3 fs0 fc0 sc0 ls0 ws0">&#36716;&#32622;<span class="ff1"> </span></div><div class="t m0 x3 h6 y3b ff3 fs0 fc0 sc0 ls0 ws0">&#23545;&#35843;&#20004;&#34892;<span class="ff4">(</span><span class="ls2">&#25110;&#21015;</span><span class="ff4">) </span></div><div class="t m0 x3 h4 y3c ff1 fs0 fc0 sc0 ls4 ws0"> <span class="ff3 ls2">&#20493;&#20056;</span><span class="ls0"> </span></div><div class="t m0 x3 h4 y3d ff1 fs0 fc0 sc0 ls4 ws0"> <span class="ff3 ls2">&#21487;&#25286;</span><span class="ls0"> </span></div><div class="t m0 x3 h4 y3e ff1 fs0 fc0 sc0 ls4 ws0"> <span class="ff3 ls2">&#20493;&#21152;</span><span class="ls0"> </span></div><div class="t m0 x3 h6 y3f ff1 fs0 fc0 sc0 ls4 ws0"> <span class="ff3 ls2">&#25353;&#34892;<span class="ff4 ls0">(<span class="ff3">&#21015;</span>)<span class="ff3">&#23637;&#24320;&#27714;&#21644;<span class="_ _0"></span><span class="ff1"> </span></span></span></span></div><div class="t m0 x3 h4 y40 ff1 fs0 fc0 sc0 ls4 ws0"> <span class="ff3 ls0">&#38750;&#23545;&#24212;&#23637;&#24320;<span class="_ _0"></span>&#21644;&#20026;&#38646;<span class="ff1"> </span></span></div><div class="t m0 x3 h2 y41 ff1 fs0 fc0 sc0 ls0 ws0"><span class="fc1 sc0"> </span></div></div><div class="c x5 y42 w4 hd"><div class="t m0 x3 ha y43 ffa fs0 fc0 sc1 ls0 ws0">&#21270;</div><div class="t m0 x3 ha y44 ffa fs0 fc0 sc1 ls0 ws0">&#19977;</div><div class="t m0 x3 ha y45 ffa fs0 fc0 sc1 ls0 ws0">&#35282;<span class="ffb"> </span></div><div class="t m0 x8 h2 y46 ff1 fs0 fc0 sc0 ls0 ws0"><span class="fc1 sc0"> </span></div></div><div class="c x5 y47 w5 he"><div class="t m0 x3 ha y48 ffa fs0 fc0 sc1 ls0 ws0">&#38477;</div><div class="t m0 x3 h2 y49 ffa fs0 fc0 sc1 ls0 ws0">&#38454;<span class="ff1 sc0"><span class="fc1 sc0"> </span></span></div><div class="t m0 x9 h2 y4a ff1 fs0 fc0 sc0 ls0 ws0"><span class="fc1 sc0"> </span></div></div><div class="t m0 xa h9 y4b ff8 fs1 fc0 sc1 ls0 ws0">&#30697;&#38453;&#27010;&#20917;<span class="ff9"> </span></div><div class="t m0 xb ha y4c ffa fs0 fc0 sc1 ls0 ws0">&#19968;&#12289;&#30697;&#38453;&#30340;&#22522;&#26412;&#27010;<span class="_ _0"></span>&#24565;<span class="ffb"> </span></div><div class="t m0 xb h4 y4d ff3 fs0 fc0 sc0 ls0 ws0">&#30697;&#38453;<span class="ff1"> </span></div><div class="t m0 xb h4 y4e ff3 fs0 fc0 sc0 ls0 ws0">&#27880;&#35299;&#65306;&#29305;&#27530;&#30697;&#38453;<span class="_ _0"></span><span class="ff1"> </span></div><div class="t m0 xb h4 y4f ff3 fs0 fc0 sc0 ls0 ws0">&#21516;&#22411;&#30697;&#38453;&#21450;&#30697;&#38453;<span class="_ _0"></span>&#30456;&#31561;<span class="ff1"> </span></div><div class="t m0 xb h4 y50 ff3 fs0 fc0 sc0 ls0 ws0">&#20276;&#38543;&#30697;&#38453;<span class="ff1"> </span></div><div class="t m0 xb ha y51 ffa fs0 fc0 sc1 ls0 ws0">&#20108;&#12289;&#30697;&#38453;&#30340;&#24615;&#36136;<span class="_ _0"></span><span class="ffb"> </span></div><div class="t m0 xb h4 y52 ff3 fs0 fc0 sc0 ls0 ws0">&#19977;&#21017;&#36816;&#31639;&#21450;&#24615;&#36136;<span class="_ _0"></span><span class="ff1"> </span></div><div class="t m0 xb h6 y53 ff4 fs0 fc0 sc0 ls0 ws0">1.<span class="ff3">&#21152;&#20943;<span class="ff1"> </span></span></div><div class="t m0 xb h6 y54 ff4 fs0 fc0 sc0 ls0 ws0">2.<span class="ff3">&#25968;&#20056;<span class="ff1"> </span></span></div><div class="t m0 xb h6 y55 ff4 fs0 fc0 sc0 ls0 ws0">3.<span class="ff3">&#20056;&#27861;<span class="ff1"> </span></span></div><div class="t m0 xb h4 y56 ff3 fs0 fc0 sc0 ls0 ws0">&#27880;&#35299;<span class="ff1"> </span></div><div class="t m0 xb ha y57 ffa fs0 fc0 sc1 ls0 ws0">&#36716;&#32622;&#24615;&#36136;<span class="ffb"> </span></div><div class="t m0 xb h2 y58 ff1 fs0 fc0 sc0 ls0 ws0"> </div><div class="t m0 xb h2 y59 ff1 fs0 fc0 sc0 ls0 ws0"> </div><div class="t m0 xb h2 y5a ff1 fs0 fc0 sc0 ls0 ws0"> </div><div class="t m0 xb h2 y5b ff1 fs0 fc0 sc0 ls0 ws0"> </div><div class="t m0 xb ha y5c ffa fs0 fc0 sc1 ls0 ws0">&#30697;&#38453;&#30340;&#34892;&#21015;&#24335;&#24615;&#36136;<span class="_ _0"></span><span class="ffb"> </span></div><div class="t m0 xb h2 y5d ff1 fs0 fc0 sc0 ls0 ws0"> </div><div class="t m0 xb h2 y5e ff1 fs0 fc0 sc0 ls0 ws0"> </div><div class="t m0 xb h2 y5f ff1 fs0 fc0 sc0 ls0 ws0"> </div><div class="c xc y60 w6 hf"><div class="t m0 x6 h9 y61 ff8 fs1 fc0 sc1 ls0 ws0">&#36870;&#30697;&#38453;&#29702;&#35770;<span class="ff9"> </span></div><div class="t m0 x3 ha y62 ffa fs0 fc0 sc1 ls0 ws0">&#19968;&#12289;&#36870;&#30697;&#38453;&#30340;&#23450;&#20041;<span class="_ _0"></span><span class="ffb"> </span></div><div class="t m0 x3 ha y63 ffa fs0 fc0 sc1 ls0 ws0">&#20108;&#12289;&#30697;&#38453;&#21487;&#36870;&#30340;&#20805;<span class="_ _0"></span>&#20998;&#24517;&#35201;&#26465;&#20214;<span class="ffb"> </span></div><div class="t m0 x3 h6 y64 ffa fs0 fc0 sc1 ls0 ws0">&#19977;&#12289;<span class="_ _1"></span>&#27714;&#36870;<span class="ff3 sc0">&#65306;<span class="_ _1"></span>&#20276;&#38543;&#30697;<span class="_ _0"></span>&#38453;&#27861;<span class="ff4">(</span>&#19981;&#36229;&#36807;&#19977;<span class="_ _0"></span>&#38454;<span class="ff4">) </span></span></div><div class="t m0 x6 h6 y65 ff3 fs0 fc0 sc0 ls0 ws0">&#21021;&#31561;&#21464;&#25442;&#27861;<span class="ff4"> <span class="_ _3"> </span> </span></div><div class="t m0 x3 h6 y66 ff4 fs0 fc0 sc0 ls0 ws0">(<span class="ff3">&#34892;</span>)<span class="ffc">&#8596;<span class="ff3">&#26041;&#31243;&#32452;<span class="_ _0"></span>&#19977;&#31181;&#21516;&#35299;&#21464;&#24418;<span class="_ _0"></span><span class="ff4"> </span></span></span></div><div class="t m0 x3 h6 y67 ff3 fs0 fc0 sc0 ls0 ws0">&#21021;&#31561;&#30697;&#38453;<span class="ff4"> </span></div><div class="t m0 x3 h10 y68 ffd fs1 fc0 sc0 ls0 ws0">|<span class="ff4 fs0"> </span>E<span class="ff4 fs0 ls5">ij </span>|<span class="ff4 fs0"> <span class="ls6">= </span>-1<span class="ff3">&#65307;</span></span>E<span class="_ _0"></span><span class="ff4 fs0 ls5">ij<span class="ffc ls0">&#8315;<span class="ff4">&#185;<span class="_ _4"></span> <span class="ls6">= </span><span class="ffd fs1">E</span><span class="ls5">ij</span><span class="ff3">&#65307;<span class="ffd fs1">E</span></span><span class="ls5">ij</span>&#178;<span class="_ _4"></span>=<span class="ffd fs1">E </span></span></span></span></div><div class="t m0 x3 h10 y69 ffd fs1 fc0 sc0 ls0 ws0">|<span class="ff4 fs0"> </span>E<span class="ff4 fs0">i(c) </span>|<span class="ff4 fs0"> <span class="ls6">= <span class="_ _0"></span><span class="ls7">c <span class="ffc ls0">&#8800;<span class="ff4"> 0<span class="ff3">&#65307;<span class="ffd fs1">E</span></span>i(c)<span class="_ _0"></span><span class="ffc">&#8315;<span class="ff4">&#185;<span class="_ _4"></span> <span class="ls6">= </span><span class="ffd fs1">E</span>i(1/<span class="_ _0"></span>c) </span></span></span></span></span></span></span></div><div class="t m0 x3 h11 y6a ffd fs1 fc0 sc0 ls0 ws0">|<span class="ff4 fs0"> </span>E<span class="ff4 fs0">ij(k) <span class="_ _0"></span><span class="ffd fs1">|<span class="ff4 fs0"> = 1<span class="ff3">&#65307;</span></span>E<span class="ff4 fs0">ij(k)<span class="ffc">&#8315;</span>&#185;<span class="_ _4"></span> <span class="ls6">= </span><span class="ffd fs1">E</span><span class="ls5">ij(</span><span class="fs5">-<span class="_ _0"></span><span class="fs0">k) </span></span></span></span></span></div><div class="t m0 x3 h6 y6b ff3 fs0 fc0 sc0 ls0 ws0">&#32467;&#35770;&#19977;&#23450;&#29702;<span class="ff4"> </span></div><div class="t m0 x3 h6 y6c ff4 fs0 fc0 sc0 ls0 ws0"> </div><div class="t m0 x3 h6 y6d ff4 fs0 fc0 sc0 ls0 ws0"> </div><div class="t m0 x3 h6 y6e ff4 fs0 fc0 sc0 ls0 ws0"> </div><div class="t m0 x3 ha y6f ffa fs0 fc0 sc1 ls0 ws0">&#22235;&#12289;&#36870;&#30697;&#38453;&#24615;&#36136;<span class="_ _0"></span><span class="ffb"> </span></div><div class="t m0 x3 h6 y70 ff4 fs0 fc0 sc0 ls0 ws0"> </div><div class="t m0 x3 h6 y71 ff4 fs0 fc0 sc0 ls0 ws0"> </div><div class="t m0 x3 h6 y72 ff4 fs0 fc0 sc0 ls0 ws0"> </div><div class="t m0 x3 h2 y73 ff1 fs0 fc0 sc0 ls0 ws0"> </div></div><div class="c xc y74 w6 h12"><div class="t m0 x3 h9 y75 ff8 fs1 fc0 sc1 ls0 ws0">&#30697;&#38453;&#30340;&#31209;<span class="ff9"> </span></div><div class="t m0 x3 ha y76 ffa fs0 fc0 sc1 ls0 ws0">&#19968;&#12289;&#30697;&#38453;&#31209;&#30340;&#23450;&#20041;<span class="_ _0"></span><span class="ffb"> </span></div><div class="t m0 x3 ha y77 ffa fs0 fc0 sc1 ls0 ws0">&#20108;&#12289;&#30697;&#38453;&#31209;&#30340;&#27714;&#27861;<span class="_ _0"></span><span class="ffb"> </span></div><div class="t m0 x3 ha y78 ffa fs0 fc0 sc1 ls0 ws0">&#19977;&#12289;&#30697;&#38453;&#31209;&#30340;&#24615;&#36136;<span class="_ _0"></span><span class="ffb"> </span></div><div class="t m0 x3 h4 y79 ff3 fs0 fc0 sc0 ls0 ws0">&#31209;&#21450;&#36716;&#32622;<span class="ff1"> </span></div><div class="t m0 x3 h4 y7a ff3 fs0 fc0 sc0 ls0 ws0">&#21152;&#20943;<span class="ff1"> </span></div><div class="t m0 x3 h4 y7b ff3 fs0 fc0 sc0 ls0 ws0">&#20056;&#27861;<span class="ff1"> </span></div><div class="t m0 x3 h4 y7c ff3 fs0 fc0 sc0 ls0 ws0">&#20056;&#31215;&#20026;&#38646;&#38453;<span class="ff1"> </span></div><div class="t m0 x3 h4 y7d ff3 fs0 fc0 sc0 ls0 ws0">&#20056;&#21487;&#36870;&#38453;<span class="ff1"> </span></div><div class="t m0 x3 h4 y7e ff3 fs0 fc0 sc0 ls0 ws0">&#20276;&#38543;&#38453;<span class="ff1"> </span></div><div class="t m0 x3 h4 y7f ff3 fs0 fc0 sc0 ls0 ws0">&#22418;&#38453;<span class="ff1"> </span></div><div class="t m0 x3 h6 y80 ff3 fs0 fc0 sc0 ls0 ws0">&#31209;&#20026;<span class="_ _2"> </span><span class="ff4">1<span class="ffe">&#8660;<span class="fff"> </span></span></span></div><div class="t m0 x3 h4 y81 ff3 fs0 fc0 sc0 ls0 ws0">&#20998;&#22359;&#38453;<span class="ff10"> </span></div></div><div class="c xd y82 w7 h13"><div class="t m0 x3 ha y83 ffa fs0 fc0 sc1 ls0 ws0">&#19968;&#12289;<span class="_ _5"></span>&#21521;&#37327;&#30340;&#27010;&#24565;&#21450;&#36816;<span class="_ _0"></span>&#31639;<span class="ffb"> </span></div><div class="t m0 x3 h6 y84 ff4 fs0 fc0 sc0 ls0 ws0">1.<span class="ff3">&#23450;&#20041;</span> </div><div class="t m0 x3 h6 y85 ff4 fs0 fc0 sc0 ls0 ws0">2.<span class="ff3">&#19977;&#21017;&#36816;&#31639;</span> </div><div class="t m0 x3 h6 y86 ff3 fs0 fc0 sc0 ls0 ws0">&#21152;&#20943;<span class="ff4"> </span></div><div class="t m0 x3 h6 y87 ff3 fs0 fc0 sc0 ls0 ws0">&#25968;&#20056;<span class="ff4"> </span></div><div class="t m0 x3 h6 y88 ff3 fs0 fc0 sc0 ls0 ws0">&#20869;&#31215;<span class="ff4"> </span></div><div class="t m0 x3 h6 y89 ff3 fs0 fc0 sc0 ls0 ws0">&#27880;&#65306;&#24038;&#36716;&#21491;&#19981;&#36716;<span class="_ _0"></span>&#20026;&#25968;&#65307;<span class="_ _5"></span><span class="ff4"> </span></div><div class="t m0 x3 h6 y8a ff4 fs0 fc0 sc0 ls8 ws0"> <span class="ff3 ls0">&#21491;&#36716;&#24038;&#19981;&#36716;<span class="_ _0"></span>&#20026;&#26041;&#38453;<span class="_ _0"></span><span class="ff4"> </span></span></div><div class="t m0 x3 h6 y8b ff4 fs0 fc0 sc0 ls0 ws0">3.<span class="ff3">&#21521;&#37327;&#32452;&#30340;&#32447;&#24615;<span class="_ _0"></span>&#30456;&#20851;&#24615;<span class="_ _0"></span><span class="ff4"> </span></span></div><div class="t m0 x3 h6 y8c ff4 fs0 fc0 sc0 ls0 ws0">4.<span class="ff3">&#21521;&#37327;&#32452;&#30340;&#22352;&#26631;<span class="_ _0"></span>&#34920;&#31034;<span class="ff4"> </span></span></div><div class="t m0 x3 h2 y8d ff1 fs0 fc0 sc0 ls0 ws0"><span class="fc1 sc0"> </span></div></div><div class="c xe y8e w8 h14"><div class="t m0 x3 h6 y8f ff4 fs0 fc0 sc0 ls0 ws0">=<span class="ff3">&#23545;&#35282;&#32447;&#20803;&#32032;<span class="_ _0"></span>&#20043;&#31215;<span class="ff1"> </span></span></div></div><div class="c xf y90 w9 h15"><div class="t m0 x3 h16 y91 ff3 fs0 fc0 sc0 ls0 ws0">&#21516;&#22411;<span class="_ _6"></span>&#30697;&#38453;&#31561;&#20215;&#23450;<span class="_ _0"></span>&#20041;&#65306;<span class="_ _1"></span><span class="ff6">A<span class="_ _7"> </span><span class="ff3">&#26377;&#38480;&#27425;&#21021;&#31561;&#21464;<span class="_ _0"></span>&#25442;<span class="_ _2"> </span><span class="ff6">B<span class="ff1"> </span></span></span></span></div><div class="t m0 x3 h6 y92 ff3 fs0 fc0 sc0 ls0 ws0">&#21069;&#25552;<span class="_ _6"></span><span class="fff"> <span class="_ _8"> </span></span>&#23450;&#29702;&#65306;<span class="ffe">&#8660;<span class="ff4 ls9">r(</span><span class="ff6">A<span class="ff4">)<span class="_ _0"></span>=r(<span class="ff6">B</span>)<span class="ff1"> </span></span></span></span></div></div><div class="c xd y93 w7 h17"><div class="t m0 x3 ha y94 ffa fs0 fc0 sc1 ls0 ws0">&#20108;&#12289;&#32447;&#24615;&#30456;&#20851;&#24615;&#29702;<span class="_ _0"></span>&#35770;<span class="ffb"> </span></div><div class="t m0 x3 h6 y95 ff4 fs0 fc0 sc0 ls0 ws0"> </div><div class="t m0 x3 h6 y96 ff4 fs0 fc0 sc0 ls0 ws0"> </div><div class="t m0 x3 h6 y97 ff4 fs0 fc0 sc0 ls0 ws0"> </div><div class="t m0 x3 h6 y98 ff4 fs0 fc0 sc0 ls0 ws0"> </div><div class="t m0 x3 h6 y99 ff4 fs0 fc0 sc0 ls0 ws0"> </div><div class="t m0 x3 h6 y9a ff4 fs0 fc0 sc0 ls0 ws0"> </div><div class="t m0 x3 h2 y9b ff1 fs0 fc0 sc0 ls0 ws0"> </div><div class="t m0 x3 h2 y9c ff1 fs0 fc0 sc0 ls0 ws0"> </div></div><div class="c xd y9d w7 h18"><div class="t m0 x3 ha y9e ffa fs0 fc0 sc1 ls0 ws0">&#19977;&#12289;&#21521;&#37327;&#32452;&#30340;&#31209;<span class="_ _0"></span><span class="ffb"> </span></div><div class="t m0 x3 h4 y9f ff3 fs0 fc0 sc0 ls0 ws0">&#26497;&#22823;&#32447;&#24615;&#26080;&#20851;&#32452;<span class="_ _0"></span>&#19982;&#31209;<span class="ff1"> </span></div></div><div class="c xd ya0 w7 h19"><div class="t m0 x3 ha ya1 ffa fs0 fc0 sc1 ls0 ws0">&#22235;&#12289;&#21521;&#37327;&#32452;&#31561;&#20215;<span class="_ _0"></span><span class="ffb"> </span></div><div class="t m0 x3 h4 ya2 ff1 fs0 fc0 sc0 ls0 ws0">Def<span class="ff3">&#12289;&#24615;&#36136;<span class="_ _0"></span><span class="ff1"> </span></span></div></div><div class="c xd ya3 w7 h1a"><div class="t m0 x3 h10 ya4 ff4 fs0 fc0 sc0 ls0 ws0">n<span class="_"> </span><span class="ff3">&#32500;<span class="fs1 sc1">&#21521;&#37327;&#31354;&#38388;</span>&#65306;<span class="ffd fs1">R</span></span></div><div class="t m0 x10 h1b ya5 ff4 fs6 fc0 sc0 ls0 ws0">n</div><div class="t m0 x11 h2 ya4 ff1 fs0 fc0 sc0 ls0 ws0"> </div><div class="t m0 x3 h6 ya6 ff3 fs0 fc0 sc0 ls0 ws0">&#22522;<span class="ff4">:<span class="ffc fs5">&#945;&#8321;,&#945;&#8322;,&#8230;&#945;</span></span></div><div class="t m0 x12 h1b ya7 ff4 fs6 fc0 sc0 ls0 ws0">s</div><div class="t m0 x13 h6 ya6 ff3 fs0 fc0 sc0 ls0 ws0">&#32447;&#26080;&#20851;<span class="ff4"> </span></div><div class="t m0 x3 h11 ya8 ff3 fs1 fc0 sc1 ls0 ws0">&#22352;&#26631;<span class="fs0 sc0">&#65306;<span class="ffc fs5">&#945;<span class="ff4">=</span></span>&#32447;&#24615;&#32452;&#21512;<span class="_ _0"></span><span class="ff1"> </span></span></div><div class="t m0 x3 h11 ya9 ff4 fs5 fc0 sc0 ls0 ws0">k<span class="ffc">&#8321;&#945;&#8321;</span><span class="lsa">+k</span><span class="ffc">&#8322;&#945;&#8322;</span>+<span class="ffc">&#8230;</span><span class="lsa">+k</span></div><div class="t m0 x14 h1b yaa ff4 fs6 fc0 sc0 ls0 ws0">s</div><div class="t m0 x10 h1c ya9 ffc fs5 fc0 sc0 ls0 ws0">&#945;</div><div class="t m0 x15 h1b yaa ff4 fs6 fc0 sc0 ls0 ws0">s</div><div class="t m0 x16 h2 ya9 ff1 fs0 fc0 sc0 ls0 ws0"> </div><div class="t m0 x3 h5 yab ff3 fs1 fc0 sc1 ls0 ws0">&#36807;<span class="_ _6"></span>&#28193;<span class="_ _9"></span>&#30697;<span class="_ _6"></span>&#38453;<span class="_ _9"></span><span class="ff1 fs0 sc0">:<span class="_ _6"></span><span class="ff3 fs4 lsb">&#20004;&#32452;&#22522;&#21487;<span class="ls0">&#20197;</span></span></span></div><div class="t m0 x3 hc yac ff3 fs4 fc0 sc0 ls0 ws0">&#30456;&#20114;&#21807;&#19968;&#32447;&#24615;&#34920;&#31034;<span class="_ _6"></span><span class="ff1"> </span></div></div><div class="c x17 yad wa h1d"><div class="t m0 x18 h9 yae ff8 fs1 fc0 sc1 ls0 ws0">&#32447;&#24615;&#26041;&#31243;&#32452;&#29702;&#35770;<span class="ff9"> </span></div><div class="t m0 x3 ha yaf ffa fs0 fc0 sc1 ls0 ws0">&#19968;&#12289;&#19977;&#31181;&#34920;&#36798;&#24418;&#24335;<span class="_ _0"></span><span class="ffb"> </span></div><div class="t m0 x3 h6 yb0 ff4 fs0 fc0 sc0 ls0 ws0">1.<span class="ff3">&#19968;&#33324;&#24418;&#24335;<span class="ff1"> </span></span></div><div class="t m0 x3 h6 yb1 ff4 fs0 fc0 sc0 ls0 ws0">2.<span class="ff3">&#30697;&#38453;&#24418;&#24335;<span class="ff1"> </span></span></div><div class="t m0 x3 h6 yb2 ff4 fs0 fc0 sc0 ls0 ws0">3.<span class="ff3">&#21521;&#37327;&#24418;&#24335;</span> </div><div class="t m0 x3 h6 yb3 ffa fs0 fc0 sc1 ls0 ws0">&#20108;&#12289;&#35299;&#30340;&#22522;&#26412;&#23450;&#29702;<span class="ff4 sc0">[<span class="_ _0"></span><span class="ff5 fs4">&#35774;<span class="_ _7"> </span><span class="ff7">m<span class="_ _2"> </span></span>&#20010;&#26041;&#31243;<span class="ff7 lsc">,n<span class="_"> </span></span>&#20010;&#26410;&#30693;<span class="_ _6"></span>&#37327;<span class="ff4 fs0">]<span class="ff1"> </span></span></span></span></div><div class="t m0 x3 h1e yb4 ff5 fs4 fc0 sc0 ls0 ws0">&#21363;&#40784;&#25110;&#38750;&#40784;&#26377;&#35299;&#26080;&#35299;&#30340;<span class="_ _6"></span>&#31561;&#20215;&#24418;&#24335;&#25110;&#20805;&#35201;&#26465;&#20214;<span class="_ _6"></span><span class="ff7"> </span></div><div class="t m0 x3 ha yb5 ffa fs0 fc0 sc1 ls0 ws0">&#19977;&#12289;&#35299;&#30340;&#32467;&#26500;<span class="ffb"> </span></div><div class="t m0 x3 h11 yb6 ff4 fs0 fc0 sc0 ls0 ws0">1<span class="ff3">&#65294;&#40784;&#35299;&#30340;&#32447;&#24615;<span class="_ _0"></span>&#32452;&#21512;<span class="ff4">(</span>&#20854;&#20013;<span class="_ _7"> </span><span class="ff4 fs5">k</span></span></div><div class="t m0 x19 h1b yb7 ff4 fs6 fc0 sc0 ls0 ws0">i</div><div class="t m0 x1a h6 yb6 ff3 fs0 fc0 sc0 ls0 ws0">&#20026;&#20219;&#24847;&#24120;&#25968;<span class="ff4">)<span class="_ _0"></span> </span></div><div class="t m0 x3 h6 yb8 ff4 fs0 fc0 sc0 ls0 ws0">2<span class="ff3">&#65294;<span class="ls2">&#38750;&#40784;</span></span> <span class="_"> </span><span class="ls6">+ <span class="_"> </span></span><span class="ff3">&#40784;</span> <span class="_"> </span><span class="lsd">= <span class="_"> </span></span><span class="ff3">&#38750;&#40784;</span> <span class="_ _9"></span><span class="ff3">&#38750;&#40784;</span> <span class="_"> </span>- <span class="_"> </span><span class="ff3">&#38750;&#40784;</span> <span class="_"> </span><span class="ls6">= <span class="_ _7"> </span></span><span class="ff3">&#40784;</span> </div><div class="t m0 x3 h6 yb9 ff4 fs0 fc0 sc0 ls0 ws0">3<span class="ff3">&#65294;&#38750;&#40784;&#32447;&#24615;&#32452;<span class="_ _0"></span>&#21512;<span class="ff4"> </span></span></div></div><div class="c x17 yba wb h1f"><div class="t m0 x3 h4 ybb ffa fs0 fc0 sc1 ls0 ws0">&#38468;&#65306;&#35299;&#30340;&#29702;&#35770;&#24310;&#20280;<span class="ff3 sc0 ls2">&#8212;&#8212;<span class="ls0">&#20116;<span class="_ _0"></span>&#20010;&#34917;&#20805;&#23450;&#29702;<span class="ff1"> </span></span></span></div></div><div class="c x1b ybc wc h20"><div class="t m0 x3 h21 ybd ff11 fs7 fc0 sc1 ls0 ws0">&#32447;&#24615;&#20195;&#25968;<span class="ff12 fs5"> <span class="_"> </span><span class="ff11">&#22522;&#30784;&#37096;&#20998;&#29702;&#35770;&#20307;&#31995;&#26500;<span class="_ _6"></span>&#24314;&#65306;<span class="_ _0"></span>&#34892;&#21015;&#24335;&#12289;&#30697;&#38453;&#12289;<span class="_ _0"></span>&#21521;&#37327;&#12289;<span class="_ _0"></span>&#32447;&#24615;&#26041;&#31243;&#32452;<span class="ff12"> </span></span></span></div></div><div class="c x1c ybe wd h22"><div class="t m0 x1d h23 ybf ff13 fs1 fc0 sc1 ls0 ws0">&#32447;&#24615;&#20195;&#25968;&#29702;&#35770;&#32508;&#36848;<span class="ff14"> </span></div></div><div class="t m1 x13 h24 yc0 ff3 fs8 fc0 sc0 ls0 ws0">&#29702;&#35770;&#26694;&#26550;</div><div class="t m0 x1e h25 yc0 ff15 fs0 fc0 sc0 ls0 ws0"> </div><div class="t m1 x1f h24 yc0 ff3 fs8 fc0 sc0 ls0 ws0">&#22791;&#27880;</div><div class="t m0 x20 h25 yc0 ff15 fs0 fc0 sc0 ls0 ws0"> </div><div class="t m0 x12 h4 yc1 ff3 fs0 fc0 sc0 ls0 ws0">&#27491;&#23450;&#20108;&#27425;&#22411;<span class="ff1"> </span></div><div class="t m0 x21 h2 yc2 ff1 fs0 fc0 sc0 ls0 ws0"> </div><div class="t m0 x22 h4 yc3 ff3 fs0 fc0 sc0 ls0 ws0">&#20108;&#27425;&#22411;<span class="ff1"> <span class="_ _a"> </span></span>&#26631;&#20934;&#21270;<span class="ff1">:</span>&#27491;&#20132;<span class="_ _0"></span>&#21464;&#25442;&#27861;<span class="ff1"> </span></div><div class="t m0 x12 h4 yc4 ff3 fs0 fc0 sc0 ls0 ws0">&#30456;&#20284;&#23545;&#35282;&#21270;<span class="ff1"> </span></div><div class="t m0 x23 h26 yc5 ff6 fs0 fc0 sc0 ls0 ws0">P<span class="ff16">&#8315;<span class="ffd">&#185;<span class="_ _4"></span><span class="ff6 lse">AP<span class="ff1 ls0">=<span class="ff17">&#923;<span class="_ _0"></span><span class="ff1">/<span class="ff6">Q</span></span></span></span></span></span></span></div><div class="t m0 x24 hb yc6 ff4 fs3 fc0 sc0 ls0 ws0"> T</div><div class="t m0 x25 h16 yc5 ff6 fs0 fc0 sc0 lsf ws0">AQ<span class="ff1 ls0"> </span></div><div class="t m0 x26 h6 yc7 ff3 fs0 fc0 sc0 ls0 ws0">&#29305;&#24449;&#20540;&#29305;&#24449;&#21521;&#37327;<span class="_ _0"></span><span class="ff1"> <span class="_ _b"> </span><span class="ff10">|<span class="ffc">&#955;<span class="ff6">E<span class="ff4">-</span>A</span></span>|<span class="ff4 ls6">=0</span></span>/<span class="ff4">(<span class="_ _0"></span><span class="ffc">&#955;<span class="ff6">E<span class="ff4">-</span>A<span class="ff4">)</span>X<span class="ff4">=<span class="_ _0"></span><span class="ff6">O<span class="ff10"> </span></span></span></span></span></span></span></div><div class="t m0 x12 h4 yc8 ff3 fs0 fc0 sc0 ls0 ws0">&#32447;&#24615;&#26041;&#31243;&#32452;<span class="ff1"> <span class="_ _c"> </span></span>&#26377;&#35299;<span class="ff1">/</span>&#26080;&#35299;<span class="ff1"> </span></div><div class="t m0 x27 h4 yc9 ff3 fs0 fc0 sc0 ls0 ws0">&#30697;&#38453;<span class="ff1"> <span class="_ _d"> </span></span>&#21487;&#36870;<span class="ff1">/</span>&#31209;<span class="ff1"> </span></div><div class="t m0 x27 h4 yca ff3 fs0 fc0 sc0 ls0 ws0">&#21521;&#37327;<span class="ff1"> <span class="_ _e"> </span></span>&#32447;&#24615;&#26080;&#20851;<span class="ff1">/</span>&#30456;&#20851;<span class="_ _0"></span><span class="ff1"> </span></div><div class="t m0 x22 h10 ycb ff3 fs0 fc0 sc0 ls0 ws0">&#34892;&#21015;&#24335;<span class="ff1"> <span class="_ _f"> </span><span class="ffd fs1">|</span><span class="ff6">A<span class="ffd fs1">|</span><span class="ffc">&#8800;<span class="ff4">0</span></span></span>/<span class="ffd fs1">|</span><span class="ff6">A<span class="ffd fs1">|</span><span class="ff4 ls6">=0<span class="_ _0"></span><span class="ff1 ls0"> </span></span></span></span></div><div class="c x1c ybe wd h22"><div class="t m0 x28 h4 ycc ff3 fs0 fc0 sc0 ls10 ws0">&#20174;&#25972;&#20307;&#26469;&#35828;&#65292;&#32447;&#24615;&#20195;&#25968;&#20998;&#20026;<span class="sc1 ls0">&#20004;<span class="_ _6"></span>&#22823;&#37096;<span class="_ _6"></span>&#20998;<span class="_ _6"></span></span>&#65292;&#21363;</div><div class="t m1 x29 h27 ycd ff3 fs9 fc0 sc0 ls0 ws0">&#20197;&#32447;&#24615;&#26041;&#31243;&#27714;&#35299;<span class="_ _0"></span>&#20026;&#32972;&#26223;</div><div class="t m0 x2a h4 ycd ff3 fs0 fc0 sc0 ls0 ws0">&#30340;&#21253;&#25324;&#34892;&#21015;&#24335;<span class="_ _0"></span>&#12289;<span class="_ _5"></span>&#30697;&#38453;&#12289;<span class="_ _10"></span>&#21521;</div><div class="t m0 x29 h4 y6b ff3 fs0 fc0 sc0 ls0 ws0">&#37327;&#12289;<span class="_ _6"></span>&#32447;&#24615;<span class="_ _6"></span>&#26041;&#31243;<span class="_ _6"></span>&#32452;&#22235;<span class="_ _6"></span>&#22823;&#22522;&#26412;<span class="_ _6"></span>&#29702;&#35770;&#30340;<span class="_ _6"></span><span class="sc1">&#22522;<span class="_ _6"></span>&#30784;&#37096;<span class="_ _6"></span>&#20998;</span><span class="ls10">&#65292;&#21644;</span></div><div class="t m0 x29 h4 yce ff3 fs0 fc0 sc0 ls0 ws0">&#21253;&#25324;&#29305;&#24449;&#20540;&#19982;&#29305;<span class="_ _0"></span>&#24449;&#21521;&#37327;&#12289;<span class="_ _10"></span>&#30456;&#20284;&#23545;&#35282;&#21270;&#12289;<span class="_ _10"></span>&#20108;&#27425;&#22411;&#31561;</div><div class="t m0 x29 h4 ycf ff3 fs0 fc0 sc0 ls0 ws0">&#20869;&#23481;&#12289;&#21487;&#30475;&#20316;</div><div class="t m1 x22 h27 ycf ff3 fs9 fc0 sc0 ls0 ws0">&#22522;&#30784;&#37096;&#20998;&#24212;<span class="_ _0"></span>&#29992;</div><div class="t m0 x2b h4 ycf ff3 fs0 fc0 sc0 ls0 ws0">&#30340;<span class="sc1">&#26680;&#24515;&#37096;&#20998;</span>&#12290;<span class="ff1"> </span></div><div class="t m0 x28 h4 yd0 ff3 fs0 fc0 sc0 ls0 ws0">&#22312;&#22522;&#30784;&#37096;&#20998;&#65292;<span class="_ _11"></span>&#32447;&#24615;&#26041;&#31243;&#32452;&#35299;<span class="_ _0"></span>&#30340;&#24773;&#20917;&#21462;&#20915;&#20110;&#32422;</div><div class="t m0 x29 h6 yd1 ff3 fs0 fc0 sc0 ls0 ws0">&#26463;&#26465;&#20214;&#20010;&#25968;<span class="_ _12"> </span><span class="ff4">m<span class="_ _12"></span></span>&#19982;&#26410;&#30693;&#37327;&#20010;<span class="_ _0"></span>&#25968;<span class="_ _12"> </span><span class="ff4">n,</span><span class="fs4">&#9312;</span>&#20197;&#19979;&#21629;&#39064;&#31561;&#20215;&#65306;<span class="_ _11"></span><span class="ff1"> </span></div><div class="t m0 x29 h6 yd2 ff3 fs0 fc0 sc0 ls0 ws0">&#26041;&#31243;&#32452;&#32422;&#26463;&#26465;&#20214;<span class="_ _0"></span>&#19982;&#26410;&#30693;&#37327;&#20010;&#25968;&#30456;<span class="_ _0"></span>&#31561;&#65292;&#21363;<span class="_ _7"> </span><span class="ff4">m<span class="ls6">=n</span></span></div><div class="t m1 x2c h28 yd2 ff18 fs8 fc0 sc1 ls0 ws0">&#26041;</div><div class="t m0 x2d h29 yd2 fff fs0 fc0 sc0 ls0 ws0"> </div><div class="t m0 x29 h6 yd3 ffe fs0 fc0 sc0 ls0 ws0">&#8660;<span class="ff3 ls2">&#30697;&#38453;<span class="_ _2"> </span></span><span class="ff6">A<span class="_"> </span><span class="ff3">&#28385;&#31209;&#12289;<span class="_ _13"></span>&#21487;&#36870;&#12289;<span class="_ _13"></span>&#38750;&#22855;&#24322;<span class="fff ls11">:r</span><span class="ff4">(<span class="ff6">A</span>)<span class="ls12">[=</span><span class="fff">r</span>(<span class="ff16">A</span></span></span></span></div><div class="t m0 x2e h2a yd4 ff16 fs0 fc0 sc0 ls0 ws0">&#60996;</div><div class="t m0 x2f h6 yd3 ff4 fs0 fc0 sc0 ls0 ws0">)]=n</div><div class="t m1 x2c h28 yd3 ff18 fs8 fc0 sc1 ls0 ws0">&#26041;</div><div class="t m0 x2d h29 yd3 fff fs0 fc0 sc0 ls0 ws0"> </div><div class="t m0 x30 h16 yd5 ffe fs0 fc0 sc0 ls0 ws0">&#8660;<span class="ff3">&#26500;&#25104;&#30697;&#38453;<span class="_ _7"> </span><span class="ff6">A<span class="_"> </span></span>&#30340;&#21015;&#21521;&#37327;<span class="_ _0"></span>&#32447;&#24615;&#26080;&#20851;</span></div><div class="t m1 x31 h28 yd5 ff18 fs8 fc0 sc1 ls0 ws0">&#26041;</div><div class="t m0 x32 h29 yd5 fff fs0 fc0 sc0 ls0 ws0"> </div><div class="t m0 x26 h10 yd6 ffe fs0 fc0 sc0 ls0 ws0">&#8660;<span class="ff3 ls2">&#30697;&#38453;<span class="_ _2"> </span></span><span class="ff6">A<span class="_"> </span><span class="ff3">&#21462;&#34892;&#21015;&#24335;<span class="ffd fs1">|</span></span>A<span class="ffd fs1">|</span><span class="ffc">&#8800;<span class="_ _0"></span><span class="ff4">0</span></span></span></div><div class="t m1 x33 h28 yd6 ff18 fs8 fc0 sc1 ls0 ws0">&#26041;</div><div class="t m0 x1f h6 yd6 ff3 fs0 fc0 sc0 ls0 ws0">&#65307;<span class="ff4"> </span></div></div><div class="c x1c yd7 we h2b"><div class="t m0 x3 h2c yd8 ff19 fs4 fc0 sc1 ls3 ws0">&#19968;&#33324;<span class="ff1a ls0"> </span></div><div class="t m0 x3 h2c yd9 ff1a fs4 fc0 sc1 ls0 ws0"> </div><div class="t m0 x3 h2c yda ff1a fs4 fc0 sc1 ls0 ws0"> </div><div class="t m0 x3 h2c ydb ff19 fs4 fc0 sc1 ls3 ws0">&#29305;&#27530;<span class="ff1a ls0"> </span></div></div><div class="c x34 ydc wf h2d"><div class="t m0 x3 h2e ydd ff19 fs0 fc0 sc1 ls0 ws0">&#24212;&#29992;<span class="ff1a"> </span></div><div class="t m0 x3 h2e yde ff1a fs0 fc0 sc0 ls0 ws0"> </div><div class="t m0 x3 h2e ydf ff1a fs0 fc0 sc0 ls0 ws0"> </div><div class="t m0 x3 h2e ye0 ff1a fs0 fc0 sc0 ls0 ws0"> </div><div class="t m0 x3 h2e ye1 ff19 fs0 fc0 sc1 ls0 ws0">&#29702;&#35770;<span class="ff1a"> </span></div></div><div class="c x35 ye2 w10 h2f"><div class="t m0 x3 h30 ye3 ff3 fs0 fc0 sc0 ls0 ws0">&#21521;&#37327;<span class="_ _2"> </span><span class="ff6 fs5">b<span class="_"> </span></span><span class="ls2">&#21487;&#30001;</span>&#21015;&#21521;&#37327;&#32452;<span class="_ _7"> </span><span class="ff16 fs5">&#945;<span class="ffc">&#8321;,</span>&#945;<span class="ffc ls2">&#8322;,<span class="_ _6"></span></span></span>&#8230;<span class="ff16 fs5">&#945;<span class="ffc">&#8345;</span></span><span class="ls2">&#21807;&#19968;</span>&#32447;&#24615;&#34920;&#31034;<span class="ff1">.<span class="_ _0"></span> </span></div><div class="t m0 x36 h6 ye4 ff3 fs4 fc0 sc0 ls0 ws0">&#9313;<span class="fs0">&#38750;&#40784;&#26377;<span class="ff4">(</span><span class="sc1">&#26080;&#31351;&#22810;</span><span class="ff4">)</span><span class="sc1">&#35299;<span class="_ _14"> </span></span><span class="fff">r<span class="ff4">(<span class="ff6">A</span>)=</span>r<span class="_ _0"></span><span class="ff4">(<span class="ff16">A</span></span></span></span></div><div class="t m0 x37 h2a ye5 ff16 fs0 fc0 sc0 ls0 ws0">&#60996;</div><div class="t m0 x38 h6 ye4 ff4 fs0 fc0 sc0 ls0 ws0">)<span class="_ _6"></span><span class="ffe">&#8653;&#8658;<span class="ff3">&#40784;&#26377;</span></span>(<span class="ff3 sc1">&#38750;&#38646;</span>)<span class="_ _0"></span><span class="ff3 sc1">&#35299;<span class="ff1 sc0"> </span></span></div><div class="t m0 x39 h10 ye6 ff3 fs0 fc0 sc0 ls0 ws0">&#40784;&#65306;&#38750;&#38646;&#35299;<span class="ff4">(</span><span class="fs4">&#32422;&#26463;<span class="_ _7"> </span></span><span class="ff4">m&lt;n)<span class="fff"> <span class="ffe">&#8660;</span> r<span class="_ _0"></span><span class="ff4">(<span class="ff6">A</span>)<span class="ls6">&lt;n</span><span class="ffe">&#8660;<span class="ff3">&#21015;<span class="_ _0"></span>&#32447;&#30456;&#20851;<span class="ffe">&#8660;<span class="ffd fs1">|</span><span class="ff6">A<span class="ffd fs1 ls13">| </span><span class="ff4">= 0</span></span></span>&#65307;<span class="ff4"> </span></span></span></span></span></span></div><div class="t m0 x3a h6 ye7 ff3 fs0 fc0 sc0 ls0 ws0">&#38750;&#40784;<span class="ff4">:</span>&#26080;&#31351;&#22810;<span class="_ _0"></span>&#35299;<span class="ff4">(m&lt;n)<span class="ffe">&#8660;<span class="_ _6"></span><span class="fff">r</span></span>(<span class="ff6">A</span>)<span class="_ _0"></span>=<span class="fff">r</span>(<span class="ff16">A</span></span></div><div class="t m0 x3b h2a ye8 ff16 fs0 fc0 sc0 ls0 ws0">&#60996;</div><div class="t m0 x3c h10 ye7 ff4 fs0 fc0 sc0 ls0 ws0">)<span class="_ _6"></span><span class="ls6">&lt;n</span><span class="ffe">&#8660;<span class="ff3">&#21015;&#30456;<span class="_ _0"></span>&#20851;<span class="ffe">&#8660;<span class="ffd fs1">|</span><span class="ff6">A<span class="ffd fs1">|</span><span class="ff4">= 0</span></span></span>&#65307;<span class="ff4"> </span></span></span></div><div class="t m0 x3 h30 ye9 ff3 fs0 fc0 sc0 ls0 ws0">&#21521;&#37327;<span class="_ _2"> </span><span class="ff6 fs5">b<span class="_"> </span></span><span class="ls2">&#21487;&#30001;&#21521;&#37327;&#32452;<span class="_ _14"> </span></span><span class="ff16 fs5">&#945;<span class="ffc">&#8321;,</span>&#945;<span class="ffc">&#8322;,</span></span>&#8230;<span class="ff16 fs5">&#945;<span class="ffc">&#8345;</span></span>&#32447;<span class="_ _0"></span>&#24615;&#34920;&#31034;&#65292;&#34920;&#31034;<span class="_ _0"></span>&#27861;&#19981;&#21807;&#19968;<span class="ff1">.<span class="_ _0"></span><span class="ff4"> </span></span></div><div class="t m0 x35 h16 yea ff3 fs0 fc0 sc0 ls0 ws0">&#9314;&#33509;&#38750;&#40784;&#27425;&#32447;&#24615;<span class="_ _0"></span>&#26041;&#31243;&#32452;<span class="sc1">&#26080;&#35299;</span><span class="ffe">&#8660;<span class="_ _0"></span><span class="ff3">&#31995;&#25968;&#30697;&#38453;<span class="_ _15"> </span><span class="ff6">A<span class="_ _15"> </span></span>&#19982;&#22686;&#24191;&#30697;</span></span></div><div class="t m0 x3 h6 yeb ff3 fs0 fc0 sc0 ls0 ws0">&#38453;<span class="ff4">(<span class="ff16">A</span></span></div><div class="t m0 x3d h2a yec ff16 fs0 fc0 sc0 ls0 ws0">&#60996;</div><div class="t m0 x35 h6 yeb ff3 fs0 fc0 sc0 ls0 ws0">&#30340;&#31209;&#19981;&#30456;&#31561;&#65292;<span class="_ _0"></span>&#21363;<span class="_ _2"> </span><span class="fff">r<span class="ff4">(<span class="ff6">A</span>) <span class="ffc">&#8800;<span class="_ _0"></span><span class="ff4"> <span class="fff">r</span>(<span class="ff16">A</span></span></span></span></span></div><div class="t m0 x3e h2a yec ff16 fs0 fc0 sc0 ls0 ws0">&#60996;</div><div class="t m0 x3f h6 yeb ff4 fs0 fc0 sc0 ls0 ws0">)[<span class="ff3">&#25110;<span class="_ _7"> </span><span class="fff">r</span></span>(<span class="ff6">A</span>) + 1 = <span class="fff">r</span>(<span class="ff16">A</span></div><div class="t m0 x2d h2a yec ff16 fs0 fc0 sc0 ls0 ws0">&#60996;</div><div class="t m0 x40 h6 yeb ff4 fs0 fc0 sc0 ls0 ws0">)]<span class="fff"> <span class="ffe">&#8660;</span> </span></div><div class="t m0 x1 h30 yed ff3 fs0 fc0 sc0 ls0 ws0">&#21521;&#37327;<span class="_ _2"> </span><span class="ff6 fs5">b<span class="_ _16"> </span></span><span class="sc1">&#19981;</span>&#21487;<span class="_ _6"></span>&#30001;&#21015;&#21521;&#37327;&#32452;<span class="_ _7"> </span><span class="ff16 fs5">&#945;<span class="ffc">&#8321;,</span>&#945;<span class="ffc">&#8322;,</span></span>&#8230;<span class="ff16 fs5">&#945;<span class="ffc">&#8345;</span></span>&#32447;&#24615;&#34920;&#31034;<span class="ff1">.<span class="_ _0"></span> </span></div></div><div class="c x41 yee w11 h31"><div class="t m0 x3 h32 yef ff1b fs7 fc0 sc1 ls14 ws0">&#8659;&#8657;<span class="ff10 ls0"> </span></div></div><div class="c x2 yf0 w12 h33"><div class="t m0 x3 h4 yf1 ff3 fs0 fc0 sc0 ls0 ws0">&#29305;&#24449;&#20540;&#19982;&#29305;&#24449;&#21521;<span class="_ _0"></span>&#37327;</div><div class="t m1 x11 h34 yf1 ff1c fsa fc0 sc0 ls0 ws0">&#20027;&#35201;&#24212;&#29992;&#20110;</div><div class="t m0 x42 h4 yf1 ff3 fs0 fc0 sc0 ls0 ws0">&#30697;&#38453;&#30456;&#20284;&#23545;&#35282;&#21270;<span class="ff1c fs2">&#20027;&#35201;&#24212;&#29992;&#20110;<span class="_ _6"></span></span>&#20108;&#27425;&#22411;&#30340;&#26631;&#20934;&#24418;<span class="_ _6"></span><span class="ff10"> </span></div></div><div class="t m2 x43 h6 yf2 ff4 fs0 fc0 sc0 ls0 ws0"><span class="fc1 sc0"> </span></div><div class="t m0 x44 h7 y3 ff3 fs2 fc0 sc0 ls0 ws0">&#35774;&#30697;&#38453;<span class="_ _7"> </span><span class="ff6">A<span class="_"> </span></span>&#30340;&#29305;&#24449;</div><div class="t m0 x45 h6 yf3 ff3 fs2 fc0 sc0 ls0 ws0">&#20540;&#20026;<span class="_ _7"> </span><span class="ffc fs0 ls15">&#955;&#8321;<span class="ff4 ls0">,<span class="ffc">&#955;&#8322;</span>,<span class="_ _0"></span><span class="ff3">&#8230;<span class="ff4">,<span class="ffc ls15">&#955;&#8345;</span></span>&#65292;</span></span></span></div><div class="t m0 x44 h6 yf4 ff3 fs0 fc0 sc0 ls0 ws0">&#21017;<span class="ff4">|<span class="ff6">A</span><span class="ls16">|=<span class="ffc ls15">&#955;&#8321;<span class="ls0">&#955;&#8322;</span></span></span></span>&#8230;<span class="ffc ls15">&#955;&#8345;</span><span class="ff4"> </span></div></div><div class="pi" data-data='{"ctm":[1.140251,0.000000,0.000000,1.140251,0.000000,0.000000]}'></div></div> </body> </html>
评论
    相关推荐
    • MATLAB+软件在线性代数教学中的应用.zip
      MATLAB在线性代数中的一些基本操作,比如矩阵相加等等。
    • 高等数学、概率论、线性代数书电子版
      学习机器学习,首先需要学习高等数学,概率论、线性代数。我已经为大家整理好了,全部在压缩包里,供大家下载,想要学机器学习,就先把这三个部分学会,机器学习就简单了。
    • 线性代数矩阵理论教程
      2009年9月最新发布,相当经典的教材 经典的学习矩阵的书籍,包括线性代数和矩阵理论的基本知识,以及习题。 内部材料啊。
    • 考研数学线性代数及概率公式整理
      考研数学线性代数及概率公式整理 该课件整理的非常全面
    • MIT线性代数笔记.rar
      线性代数”,同微积分一样,是高等数学中两大入门课程之一,不仅是一门...本课程讲述了矩阵理论线性代数的基本知识,侧重于那些与其他学科相关的内容,包括方程组、向量空间、行列式、特征值、相似矩阵及正定矩阵。
    • 同济线性代数第六版---和--统计学习方法_李航.zip
      这里包含两本机器学习中常用的数学知识,有同济线性代数第六版、统计学习方法_李航,是电子数的,PDF的格式。
    • 考研线性代数、概率公式
      线性代数、概率公式/线性代数、概率公式/线性代数、概率公式
    • 线性代数 工程数学之一.rar
      线性代数是工程数学的基础课程,也是学习一些软件的理论基础。如MATLAB
    • 机器学习的数学基础.zip
      机器学习的特点就是:以计算机为工具和平台,以数据为研究对象,以...是概率论、线性代数、数值计算、信息论、最优化理论和计算机科学等多个领域的交叉学科。所以就先介绍一下机器学习涉及到的一些最常用的的数学知识。
    • matlabcnhelp.rar
      matlab中文帮助很难找的,快速下载