{"id":21647,"date":"2025-09-01T23:36:57","date_gmt":"2025-09-01T15:36:57","guid":{"rendered":"https:\/\/blog.iyatt.com\/?p=21647"},"modified":"2025-09-01T23:38:31","modified_gmt":"2025-09-01T15:38:31","slug":"%e5%88%9d%e7%ad%89%e7%9f%a9%e9%98%b5%e7%9a%84%e6%80%a7%e8%b4%a8","status":"publish","type":"post","link":"https:\/\/blog.iyatt.com\/?p=21647","title":{"rendered":"\u521d\u7b49\u77e9\u9635\u7684\u6027\u8d28"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_82_2 ez-toc-wrap-center counter-hierarchy ez-toc-counter ez-toc-light-blue ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title ez-toc-toggle\" style=\"cursor:pointer\">\u76ee\u5f55<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/blog.iyatt.com\/?p=21647\/#%E5%88%9D%E7%AD%89%E7%9F%A9%E9%98%B5\" >\u521d\u7b49\u77e9\u9635<\/a><ul class='ez-toc-list-level-2' ><li class='ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/blog.iyatt.com\/?p=21647\/#%E7%AC%AC%E4%B8%80%E7%A7%8D%EF%BC%9A%E5%AF%B9%E8%B0%83%E8%A1%8C%E6%88%96%E5%88%97\" >\u7b2c\u4e00\u79cd\uff1a\u5bf9\u8c03\u884c\u6216\u5217<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/blog.iyatt.com\/?p=21647\/#%E7%AC%AC%E4%BA%8C%E7%A7%8D%EF%BC%9A%E6%9F%90%E8%A1%8C%E6%88%96%E5%88%97%E4%B9%98%E4%BB%A5%E9%9D%9E%E9%9B%B6%E5%B8%B8%E6%95%B0\" >\u7b2c\u4e8c\u79cd\uff1a\u67d0\u884c\u6216\u5217\u4e58\u4ee5\u975e\u96f6\u5e38\u6570<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/blog.iyatt.com\/?p=21647\/#%E7%AC%AC%E4%B8%89%E7%A7%8D%EF%BC%9A%E6%9F%90%E8%A1%8C%E6%88%96%E5%88%97%E7%9A%84%E5%80%8D%E6%95%B0%E5%8A%A0%E5%88%B0%E5%8F%A6%E4%B8%80%E8%A1%8C%E6%88%96%E5%88%97\" >\u7b2c\u4e09\u79cd\uff1a\u67d0\u884c\u6216\u5217\u7684\u500d\u6570\u52a0\u5230\u53e6\u4e00\u884c\u6216\u5217<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/blog.iyatt.com\/?p=21647\/#%E5%88%9D%E7%AD%89%E7%9F%A9%E9%98%B5%E4%B8%8E%E5%85%B6%E5%AE%83%E7%9F%A9%E9%98%B5%E7%9A%84%E7%A7%AF\" >\u521d\u7b49\u77e9\u9635\u4e0e\u5176\u5b83\u77e9\u9635\u7684\u79ef<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/blog.iyatt.com\/?p=21647\/#%E5%88%9D%E7%AD%89%E7%9F%A9%E9%98%B5%E7%9A%84%E9%80%86%E7%9F%A9%E9%98%B5\" >\u521d\u7b49\u77e9\u9635\u7684\u9006\u77e9\u9635<\/a><ul class='ez-toc-list-level-2' ><li class='ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/blog.iyatt.com\/?p=21647\/#%E7%AC%AC%E4%B8%80%E7%A7%8D\" >\u7b2c\u4e00\u79cd<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/blog.iyatt.com\/?p=21647\/#%E7%AC%AC%E4%BA%8C%E7%A7%8D\" >\u7b2c\u4e8c\u79cd<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/blog.iyatt.com\/?p=21647\/#%E7%AC%AC%E4%B8%89%E7%A7%8D\" >\u7b2c\u4e09\u79cd<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h1><span class=\"ez-toc-section\" id=\"%E5%88%9D%E7%AD%89%E7%9F%A9%E9%98%B5\"><\/span>\u521d\u7b49\u77e9\u9635<span class=\"ez-toc-section-end\"><\/span><\/h1>\n<p>\u5355\u4f4d\u77e9\u9635\u7ecf\u8fc7\u4e00\u6b21\u521d\u7b49\u53d8\u6362\u6240\u5f97\u5230\u7684\u77e9\u9635\u79f0\u4e3a\u521d\u7b49\u77e9\u9635<\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E7%AC%AC%E4%B8%80%E7%A7%8D%EF%BC%9A%E5%AF%B9%E8%B0%83%E8%A1%8C%E6%88%96%E5%88%97\"><\/span>\u7b2c\u4e00\u79cd\uff1a\u5bf9\u8c03\u884c\u6216\u5217<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><code class=\"katex-inline\">E_{i,j}<\/code> \u8868\u793a\u5c06\u5355\u4f4d\u77e9\u9635 E \u7684\u7b2c i \u884c\u548c\u7b2c j \u884c\u5bf9\u8c03\uff08\u6216\u8005\u4e5f\u53ef\u4ee5\u8bf4\u662f\u628a\u7b2c i \u5217\u548c\u7b2c j \u5217\u5bf9\u8c03\uff09\u6240\u5f97\u5230\u7684\u77e9\u9635\u3002\u5982<code class=\"katex-inline\">E_{1,3}=\\begin{pmatrix}0&0&1\\\\0&1&0\\\\1&0&0\\end{pmatrix}<\/code><\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E7%AC%AC%E4%BA%8C%E7%A7%8D%EF%BC%9A%E6%9F%90%E8%A1%8C%E6%88%96%E5%88%97%E4%B9%98%E4%BB%A5%E9%9D%9E%E9%9B%B6%E5%B8%B8%E6%95%B0\"><\/span>\u7b2c\u4e8c\u79cd\uff1a\u67d0\u884c\u6216\u5217\u4e58\u4ee5\u975e\u96f6\u5e38\u6570<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><code class=\"katex-inline\">E_i(c)<\/code> \u8868\u793a\u5c06\u5355\u4f4d\u77e9\u9635 E \u7684\u7b2c i \u884c\uff08\u6216\u7b2c i \u5217\uff09\u4e58\u4ee5\u975e\u96f6\u5e38\u6570 c \u6240\u5f97\u5230\u7684\u77e9\u9635\u3002\u5982<code class=\"katex-inline\">E_2(3)=\\begin{pmatrix}1&0&0\\\\0&3&0\\\\0&0&1\\end{pmatrix}<\/code><\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E7%AC%AC%E4%B8%89%E7%A7%8D%EF%BC%9A%E6%9F%90%E8%A1%8C%E6%88%96%E5%88%97%E7%9A%84%E5%80%8D%E6%95%B0%E5%8A%A0%E5%88%B0%E5%8F%A6%E4%B8%80%E8%A1%8C%E6%88%96%E5%88%97\"><\/span>\u7b2c\u4e09\u79cd\uff1a\u67d0\u884c\u6216\u5217\u7684\u500d\u6570\u52a0\u5230\u53e6\u4e00\u884c\u6216\u5217<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><code class=\"katex-inline\">E_{ij}(k)<\/code> \u8868\u793a\u5c06\u5355\u4f4d\u77e9\u9635 E \u7684\u7b2c j \u884c\u7684 k \u500d\u52a0\u5230\u7b2c i \u884c\uff08\u6216\u5c06\u5355\u4f4d\u77e9\u9635 E \u7684\u7b2c j \u5217\u7684 k \u500d\u52a0\u5230\u7b2c i \u5217\uff09\u6240\u5f97\u5230\u7684\u77e9\u9635\u3002\u5982<code class=\"katex-inline\">E_{21}(4)=\\begin{pmatrix}1&0&0\\\\4&1&0\\\\0&0&1\\end{pmatrix}<\/code><\/p>\n<h1><span class=\"ez-toc-section\" id=\"%E5%88%9D%E7%AD%89%E7%9F%A9%E9%98%B5%E4%B8%8E%E5%85%B6%E5%AE%83%E7%9F%A9%E9%98%B5%E7%9A%84%E7%A7%AF\"><\/span>\u521d\u7b49\u77e9\u9635\u4e0e\u5176\u5b83\u77e9\u9635\u7684\u79ef<span class=\"ez-toc-section-end\"><\/span><\/h1>\n<p>\u7b80\u8bb0\uff1a\u5de6\u884c\u53f3\u5217<\/p>\n<p>\uff081\uff09\u82e5 B \u662f\u4e00\u4e2a\u521d\u7b49\u77e9\u9635\uff0c<code class=\"katex-inline\">BA<\/code> \u672c\u8d28\u662f\u5bf9\u77e9\u9635 A \u7684\u884c\u8fdb\u884c\u548c B \u4e00\u6837\u7684\u521d\u7b49<strong>\u884c<\/strong>\u53d8\u6362\u3002\u5982 <code class=\"katex-inline\">A=\\begin{pmatrix}1&2&3\\\\4&5&6\\\\7&8&9\\end{pmatrix}<\/code>\uff0c<code class=\"katex-inline\">E_{1,3}A=\\begin{pmatrix}7&8&9\\\\4&5&6\\\\1&2&3\\end{pmatrix}<\/code><br \/>\n\uff082\uff09\u82e5 B \u662f\u4e00\u4e2a\u521d\u7b49\u77e9\u9635\uff0c<code class=\"katex-inline\">AB<\/code> \u672c\u8d28\u662f\u5bf9\u77e9\u9635 A \u7684\u5217\u8fdb\u884c\u548c B \u4e00\u6837\u7684\u521d\u7b49<strong>\u5217<\/strong>\u53d8\u6362\u3002\u5982<code class=\"katex-inline\">A=\\begin{pmatrix}1&2&3\\\\4&5&6\\\\7&8&9\\end{pmatrix}<\/code>\uff0c<code class=\"katex-inline\">AE_2(3)=\\begin{pmatrix}1&6&3\\\\4&15&6\\\\7&24&9\\end{pmatrix}<\/code><\/p>\n<h1><span class=\"ez-toc-section\" id=\"%E5%88%9D%E7%AD%89%E7%9F%A9%E9%98%B5%E7%9A%84%E9%80%86%E7%9F%A9%E9%98%B5\"><\/span>\u521d\u7b49\u77e9\u9635\u7684\u9006\u77e9\u9635<span class=\"ez-toc-section-end\"><\/span><\/h1>\n<h2><span class=\"ez-toc-section\" id=\"%E7%AC%AC%E4%B8%80%E7%A7%8D\"><\/span>\u7b2c\u4e00\u79cd<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<pre><code class=\"language-katex\">\\begin{array}{l}\n|E_{i,j}|=-1\\ne0\uff0cE_{i,j}\u53ef\u9006\\\\\n(E_{i,j})^{-1}=E_{i,j}\\\\\n(E_{i,j})^2=E\n\\end{array}<\/code><\/pre>\n<h2><span class=\"ez-toc-section\" id=\"%E7%AC%AC%E4%BA%8C%E7%A7%8D\"><\/span>\u7b2c\u4e8c\u79cd<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<pre><code class=\"language-katex\">\\begin{array}{l}\n|E_i(c)|=c\\ne0\uff0cE_i(c)\u53ef\u9006\\\\\n[E_i(c)]^{-1}=E_i(\\frac1c)\n\\end{array}<\/code><\/pre>\n<h2><span class=\"ez-toc-section\" id=\"%E7%AC%AC%E4%B8%89%E7%A7%8D\"><\/span>\u7b2c\u4e09\u79cd<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<pre><code class=\"language-katex\">\\begin{array}{l}\n|E_{ij}(k)=1\\ne0\uff0cE_{ij}(k)\u53ef\u9006\\\\\n[E_{ij}]^{-1}=E_{ij}(-k)\n\\end{array}<\/code><\/pre>\n","protected":false},"excerpt":{"rendered":"<p>\u521d\u7b49\u77e9\u9635 \u5355\u4f4d\u77e9\u9635\u7ecf\u8fc7\u4e00\u6b21\u521d\u7b49\u53d8\u6362\u6240\u5f97\u5230\u7684\u77e9\u9635\u79f0\u4e3a\u521d\u7b49\u77e9\u9635 \u7b2c\u4e00\u79cd\uff1a\u5bf9\u8c03\u884c\u6216\u5217 E_{i,j} \u8868\u793a\u5c06\u5355\u4f4d\u77e9\u9635 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"zakra_page_container_layout":"customizer","zakra_page_sidebar_layout":"customizer","zakra_remove_content_margin":false,"zakra_sidebar":"customizer","zakra_transparent_header":"customizer","zakra_logo":0,"zakra_main_header_style":"default","zakra_menu_item_color":"","zakra_menu_item_hover_color":"","zakra_menu_item_active_color":"","zakra_menu_active_style":"","zakra_page_header":true,"_lmt_disableupdate":"no","_lmt_disable":"no","footnotes":""},"categories":[1],"tags":[1709,1710,1707,1712,1704,1708,1711],"class_list":["post-21647","post","type-post","status-publish","format-standard","hentry","category-all","tag-1709","tag-1710","tag-1707","tag-1712","tag-1704","tag-1708","tag-1711"],"modified_by":"IYATT-yx","_links":{"self":[{"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=\/wp\/v2\/posts\/21647","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=21647"}],"version-history":[{"count":5,"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=\/wp\/v2\/posts\/21647\/revisions"}],"predecessor-version":[{"id":21652,"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=\/wp\/v2\/posts\/21647\/revisions\/21652"}],"wp:attachment":[{"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=21647"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=21647"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=21647"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}