{"id":842,"date":"2023-03-04T20:38:28","date_gmt":"2023-03-04T12:38:28","guid":{"rendered":"https:\/\/www.appblog.cn\/?p=842"},"modified":"2023-03-04T22:38:16","modified_gmt":"2023-03-04T14:38:16","slug":"mathjax-basic-matrix","status":"publish","type":"post","link":"https:\/\/www.appblog.cn\/index.php\/2023\/03\/04\/mathjax-basic-matrix\/","title":{"rendered":"MathJax\u57fa\u7840\u4e4b\u77e9\u9635"},"content":{"rendered":"<h2>\u77e9\u9635\u8868\u793a<\/h2>\n<p>\u53ef\u4ee5\u7528 <code>\\begin{matrix} ... \\end{matrix}<\/code> \u6765\u8868\u793a\u77e9\u9635\u3002\u5c06\u77e9\u9635\u5143\u7d20\u653e\u5728 <code>\\begin<\/code> \u548c <code>\\end<\/code> \u4e4b\u95f4\u5373\u53ef\u3002 \u7528 <code>\\\\<\/code> \u6765\u5206\u5272\u884c\uff0c\u7528 <code>&amp;<\/code> \u6765\u5206\u5272\u540c\u4e00\u884c\u7684\u77e9\u9635\u5143\u7d20\u3002\u5982\uff1a<\/p>\n<p><!-- more --><\/p>\n<pre><code>\\begin{matrix}\n  1 &amp; x &amp; x^2 \\\\\n  1 &amp; y &amp; y^2 \\\\\n  1 &amp; z &amp; z^2 \\\\\n\\end{matrix}<\/code><\/pre>\n<p>\u8868\u793a\uff1a<\/p>\n<pre><code class=\"language-mathjax\">\\begin{matrix}\n  1 &amp; x &amp; x^2 \\\\\n  1 &amp; y &amp; y^2 \\\\\n  1 &amp; z &amp; z^2 \\\\\n\\end{matrix}<\/code><\/pre>\n<p>MathJax \u4f1a\u81ea\u52a8\u8c03\u6574\u884c\u5217\u7684\u5c3a\u5bf8\u3002<\/p>\n<h2>\u77e9\u9635\u4e24\u7aef\u7684\u62ec\u53f7<\/h2>\n<p>\u7ed9\u77e9\u9635\u4e24\u7aef\u52a0\u4e0a\u62ec\u53f7\uff0c\u53ef\u4ee5\u7528<code>\\left\u2026\\right<\/code> \u6216\u8005\u628a <code>{matrix}<\/code><\/p>\n<p>\u66ff\u6362\u4e3a <code>{pmatrix}<\/code>\uff0c\u53d8\u6210 <code class=\"mathjax-inline language-mathjax\">\\begin{pmatrix} 1 & 2 \\\\ 3 & 4 \\\\ \\end{pmatrix}<\/code><br \/>\n\u66ff\u6362\u4e3a <code>{bmatrix}<\/code>\uff0c\u53d8\u6210 <code class=\"mathjax-inline language-mathjax\">\\begin{bmatrix} 1 & 2 \\\\ 3 & 4 \\\\ \\end{bmatrix}<\/code><br \/>\n\u66ff\u6362\u4e3a <code>{Bmatrix}<\/code>\uff0c\u53d8\u6210 <code class=\"mathjax-inline language-mathjax\">\\begin{Bmatrix} 1 & 2 \\\\ 3 & 4 \\\\ \\end{Bmatrix}<\/code><br \/>\n\u66ff\u6362\u4e3a <code>{vmatrix}<\/code>\uff0c\u53d8\u6210 <code class=\"mathjax-inline language-mathjax\">\\begin{vmatrix} 1 & 2 \\\\ 3 & 4 \\\\ \\end{vmatrix}<\/code><br \/>\n\u66ff\u6362\u4e3a <code>{Vmatrix}<\/code>\uff0c\u53d8\u6210 <code class=\"mathjax-inline language-mathjax\">\\begin{Vmatrix} 1 & 2 \\\\ 3 & 4 \\\\ \\end{Vmatrix}<\/code><\/p>\n<h2>\u5728\u4e2d\u95f4\u7701\u7565\u4e00\u4e9b\u9879<\/h2>\n<p>\u53ef\u4ee5\u7528 <code>\\cdots<\/code>(<code>\u22ef<\/code>)\u3001<code>\\ddots<\/code>(<code>\u22f1<\/code>)\u3001<code>vdots<\/code>(<code>\u22ee<\/code>)\u6765\u5728\u4e2d\u95f4\u7701\u7565\u4e00\u4e9b\u9879\u3002 <\/p>\n<p>\u6bd4\u5982\uff1a<\/p>\n<pre><code>\\begin{pmatrix}\n  1 &amp; a_1 &amp; a_1^2 &amp; \\cdots &amp; a_1^n \\\\\n  1 &amp; a_2 &amp; a_2^2 &amp; \\cdots &amp; a_2^n \\\\\n  \\vdots &amp; \\vdots &amp; \\vdots &amp; \\ddots &amp; \\vdots \\\\\n  1 &amp; a_m &amp; a_m^2 &amp; \\cdots &amp; a_m^n\n\\end{pmatrix} <\/code><\/pre>\n<pre><code class=\"language-mathjax\">\\begin{pmatrix}\n  1 &amp; a_1 &amp; a_1^2 &amp; \\cdots &amp; a_1^n \\\\\n  1 &amp; a_2 &amp; a_2^2 &amp; \\cdots &amp; a_2^n \\\\\n  \\vdots &amp; \\vdots &amp; \\vdots &amp; \\ddots &amp; \\vdots \\\\\n  1 &amp; a_m &amp; a_m^2 &amp; \\cdots &amp; a_m^n\n\\end{pmatrix} <\/code><\/pre>\n<h2>\u589e\u5e7f\u77e9\u9635 augmented matrix<\/h2>\n<p>\u5bf9\u4e8e\u589e\u5e7f\u77e9\u9635\uff0c\u8981\u7528\u5230 {array} \u8bed\u53e5\u3002\u5982\uff1a<\/p>\n<pre><code>\\left\\\\[\n  \\begin{array} {cc|c}\n    1 &amp; 2 &amp; 3 \\\\\n    4 &amp; 5 &amp; 6\n  \\end{array}\n\\right\\\\]\n\n\\begin{bmatrix}\n  \\begin{array} {cc|c}\n    1 &amp; 2 &amp; 3 \\\\\n    4 &amp; 5 &amp; 6\n  \\end{array}\n\\end{bmatrix}<\/code><\/pre>\n<p>\u53ef\u4ee5\u5f97\u5230\uff1a <\/p>\n<pre><code class=\"language-mathjax\">\\left[\n  \\begin{array} {cc|c}\n    1 &amp; 2 &amp; 3 \\\\\n    4 &amp; 5 &amp; 6\n  \\end{array}\n\\right]\n\n\\begin{bmatrix}\n  \\begin{array} {cc|c}\n    1 &amp; 2 &amp; 3 \\\\\n    4 &amp; 5 &amp; 6\n  \\end{array}\n\\end{bmatrix}<\/code><\/pre>\n<p>{cc|c}\u7684\u4f5c\u7528\u662f\uff0c\u5728\u7b2c\u4e8c\u5217\u548c\u7b2c\u4e09\u5217\u4e4b\u95f4\u753b\u4e00\u6761\u5782\u76f4\u7ebf\uff0cc\u8868\u793a\u5217\u4e2d\u5fc3\u5bf9\u9f50\u3002<\/p>\n<h2>\u5728\u884c\u5185\u753b\u5c0f\u77e9\u9635<\/h2>\n<p>\u5982\u679c\u53ea\u662f\u9700\u8981\u5728\u884c\u5185\u753b\u4e2a\u5c0f\u77e9\u9635\uff0c\u53ef\u4ee5\u7528 <code>\\bigl(\\begin{smallmatrix} ... \\end{smallmatrix}\\bigr)<\/code> \u6765\u753b\u3002<\/p>\n<p>\u5982 <code> $ \\bigl( \\begin{smallmatrix} a &amp; b \\\\ c &amp; d \\end{smallmatrix} \\bigr) $ <\/code><\/p>\n<p>\u53ef\u4ee5\u753b\u51fa <code class=\"mathjax-inline language-mathjax\">\\bigl( \\begin{smallmatrix} a & b \\\\ c & d \\end{smallmatrix} \\bigr)<\/code><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u77e9\u9635\u8868\u793a \u53ef\u4ee5\u7528 \\begin{matrix} &#8230; \\end{matrix} \u6765\u8868\u793a\u77e9\u9635\u3002\u5c06\u77e9\u9635\u5143\u7d20\u653e\u5728  [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[97],"tags":[241,240],"class_list":["post-842","post","type-post","status-publish","format-standard","hentry","category-tools-skills","tag-latex","tag-mathjax"],"_links":{"self":[{"href":"https:\/\/www.appblog.cn\/index.php\/wp-json\/wp\/v2\/posts\/842","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.appblog.cn\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.appblog.cn\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.appblog.cn\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.appblog.cn\/index.php\/wp-json\/wp\/v2\/comments?post=842"}],"version-history":[{"count":0,"href":"https:\/\/www.appblog.cn\/index.php\/wp-json\/wp\/v2\/posts\/842\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.appblog.cn\/index.php\/wp-json\/wp\/v2\/media?parent=842"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.appblog.cn\/index.php\/wp-json\/wp\/v2\/categories?post=842"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.appblog.cn\/index.php\/wp-json\/wp\/v2\/tags?post=842"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}