{"id":281,"date":"2023-07-06T21:48:53","date_gmt":"2023-07-06T21:48:53","guid":{"rendered":"https:\/\/mathority.org\/cn\/2x2-%e5%92%8c-3x3-%e7%9f%a9%e9%98%b5%e7%9a%84%e4%b9%98%e6%b3%95%e7%a4%ba%e4%be%8b%e5%92%8c%e7%bb%83%e4%b9%a0%e9%80%90%e6%ad%a5%e8%a7%a3%e5%86%b3\/"},"modified":"2023-07-06T21:48:53","modified_gmt":"2023-07-06T21:48:53","slug":"2x2-%e5%92%8c-3x3-%e7%9f%a9%e9%98%b5%e7%9a%84%e4%b9%98%e6%b3%95%e7%a4%ba%e4%be%8b%e5%92%8c%e7%bb%83%e4%b9%a0%e9%80%90%e6%ad%a5%e8%a7%a3%e5%86%b3","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/2x2-%e5%92%8c-3x3-%e7%9f%a9%e9%98%b5%e7%9a%84%e4%b9%98%e6%b3%95%e7%a4%ba%e4%be%8b%e5%92%8c%e7%bb%83%e4%b9%a0%e9%80%90%e6%ad%a5%e8%a7%a3%e5%86%b3\/","title":{"rendered":"\u77e9\u9635\u4e58\u6cd5"},"content":{"rendered":"<p>\u5728\u672c\u9875\u4e2d\uff0c\u6211\u4eec\u5c06\u4e86\u89e3\u5982\u4f55\u5bf9\u5c3a\u5bf8\u4e3a 2\u00d72\u30013\u00d73\u30014\u00d74 \u7b49\u7684<strong>\u77e9\u9635\u8fdb\u884c\u4e58\u6cd5<\/strong>\u3002\u6211\u4eec\u901a\u8fc7\u4e00\u4e2a\u4f8b\u5b50\u4e00\u6b65\u6b65\u89e3\u91ca\u77e9\u9635\u4e58\u6cd5\u7684\u8fc7\u7a0b\uff0c\u7136\u540e\u4f60\u4f1a\u627e\u5230\u5df2\u89e3\u51b3\u7684\u7ec3\u4e60\uff0c\u4ee5\u4fbf\u4f60\u4e5f\u53ef\u4ee5\u7ec3\u4e60\u3002\u6700\u540e\uff0c\u60a8\u5c06\u4e86\u89e3\u4e24\u4e2a\u77e9\u9635\u4f55\u65f6\u4e0d\u80fd\u76f8\u4e58\u4ee5\u53ca\u8be5\u77e9\u9635\u8fd0\u7b97\u7684\u6240\u6709\u5c5e\u6027\u3002<\/p>\n<h2 class=\"wp-block-heading\">\u5982\u4f55\u5c06\u4e24\u4e2a\u77e9\u9635\u76f8\u4e58\uff1f<\/h2>\n<p>\u8ba9\u6211\u4eec\u901a\u8fc7\u4e00\u4e2a\u4f8b\u5b50\u6765\u770b\u770b\u6267\u884c\u4e24\u4e2a\u77e9\u9635\u76f8\u4e58\u7684\u8fc7\u7a0b\uff1a <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemple-de-multiplication-matricielle-22152.webp\" alt=\"\u5982\u4f55\u5c06\u4e24\u4e2a\u7ef4\u5ea6\u4e3a 2x2 \u7684\u77e9\u9635\u76f8\u4e58\u4ee5\u53ca\u77e9\u9635\u8fd0\u7b97\u7684\u793a\u4f8b\" width=\"228\" height=\"60\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p class=\"has-background\" style=\"background-color:#dff6ff\">\u8981\u8ba1\u7b97<strong>\u77e9\u9635\u4e58\u6cd5\uff0c<\/strong>\u5de6\u77e9\u9635\u7684<strong>\u884c<\/strong>\u5fc5\u987b\u4e58\u4ee5\u53f3\u77e9\u9635\u7684<strong>\u5217<\/strong>\u3002<\/p>\n<p>\u6240\u4ee5\u9996\u5148\u6211\u4eec\u9700\u8981\u5c06<strong>\u7b2c\u4e00\u884c\u4e58\u4ee5\u7b2c\u4e00\u5217\u3002<\/strong>\u4e3a\u6b64\uff0c\u6211\u4eec\u5c06\u7b2c\u4e00\u884c\u4e2d\u7684\u6bcf\u4e2a\u5143\u7d20\u4e58\u4ee5\u7b2c\u4e00\u5217\u4e2d\u7684\u6bcf\u4e2a\u5143\u7d20\uff0c\u7136\u540e\u5c06\u7ed3\u679c\u76f8\u52a0\u3002\u56e0\u6b64\uff0c\u6240\u6709\u8fd9\u4e9b\u90fd\u5c06\u662f\u7ed3\u679c\u6570\u7ec4\u7b2c\u4e00\u884c\u7684\u7b2c\u4e00\u4e2a\u5143\u7d20\u3002\u770b\u4e00\u4e0b\u6d41\u7a0b\uff1a <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/comment-multiplier-des-matrices-22152.webp\" alt=\"\u5982\u4f55\u89e3\u51b3 2x2 \u77e9\u9635\u4e58\u6cd5\u3001\u77e9\u9635\u8fd0\u7b97\" width=\"504\" height=\"87\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> 1 <strong>\u22c5<\/strong> 3 + 2 <strong>\u22c5<\/strong> 4 = 3 + 8 = 11\u3002\u6240\u4ee5\uff1a <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><\/figure>\n<\/div>\n<p class=\"has-text-align-justify\">\u73b0\u5728\u6211\u4eec\u9700\u8981\u5c06<strong>\u7b2c\u4e00\u884c\u4e58\u4ee5\u7b2c\u4e8c\u5217<\/strong>\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u91cd\u590d\u8be5\u8fc7\u7a0b\uff1a\u5c06\u7b2c\u4e00\u884c\u7684\u6bcf\u4e2a\u5143\u7d20\u4e0e\u7b2c\u4e8c\u5217\u7684\u6bcf\u4e2a\u5143\u7d20\u4e00\u4e00\u76f8\u4e58\uff0c\u7136\u540e\u5c06\u7ed3\u679c\u76f8\u52a0\u3002\u6240\u6709\u8fd9\u4e9b\u90fd\u5c06\u662f\u7ed3\u679c\u6570\u7ec4\u7b2c\u4e00\u884c\u7684\u7b2c\u4e8c\u4e2a\u5143\u7d20\uff1a<\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><\/figure>\n<\/div>\n<p>1 <strong>\u00d7<\/strong> 5 + 2 <strong>\u00d7<\/strong> 1 = 5 + 2 = 7\u3002\u6240\u4ee5\uff1a <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><\/figure>\n<\/div>\n<div class=\"adsb30\" style=\" margin:px; text-align:\"><\/div>\n<p>\u4e00\u65e6\u6211\u4eec\u586b\u5145\u4e86\u7ed3\u679c\u77e9\u9635\u7684\u7b2c\u4e00\u884c\uff0c\u6211\u4eec\u5c31\u79fb\u52a8\u5230\u7b2c\u4e8c\u884c\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u901a\u8fc7\u91cd\u590d\u4ee5\u4e0b\u8fc7\u7a0b\u5c06<strong>\u7b2c\u4e8c\u884c\u4e58\u4ee5\u7b2c\u4e00\u5217<\/strong>\uff1a\u5c06\u7b2c\u4e8c\u884c\u7684\u6bcf\u4e2a\u5143\u7d20\u4e58\u4ee5\u7b2c\u4e00\u5217\u7684\u6bcf\u4e2a\u5143\u7d20\uff0c\u7136\u540e\u5c06\u7ed3\u679c\u76f8\u52a0\uff1a<\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><\/figure>\n<\/div>\n<p>-3 <strong>\u00d7<\/strong> 3 + 0 <strong>\u00d7<\/strong> 4 = -9 + 0 = -9\u3002\u7136\u800c\uff1a <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><\/figure>\n<\/div>\n<p class=\"has-text-align-justify\">\u6700\u540e\uff0c\u6211\u4eec\u5c06<strong>\u7b2c\u4e8c\u884c\u4e58\u4ee5\u7b2c\u4e8c\u5217<\/strong>\u3002\u59cb\u7ec8\u4f7f\u7528\u76f8\u540c\u7684\u8fc7\u7a0b\uff1a\u6211\u4eec\u5c06\u7b2c\u4e8c\u884c\u7684\u6bcf\u4e2a\u5143\u7d20\u4e0e\u7b2c\u4e8c\u5217\u7684\u6bcf\u4e2a\u5143\u7d20\u4e00\u4e00\u76f8\u4e58\uff0c\u7136\u540e\u5c06\u7ed3\u679c\u76f8\u52a0\uff1a<\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><\/figure>\n<\/div>\n<p>-3 <strong>\u00d7<\/strong> 5 + 0 <strong>\u00d7<\/strong> 1 = -15 + 0 = -15\u3002\u7136\u800c\uff1a<\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><\/figure>\n<\/div>\n<p>\u5230\u8fd9\u91cc\u4e24\u4e2a\u77e9\u9635\u7684\u4e58\u6cd5\u5c31\u7ed3\u675f\u4e86\u3002\u6b63\u5982\u60a8\u6240\u770b\u5230\u7684\uff0c\u60a8\u9700\u8981\u5c06\u884c\u4e58\u4ee5\u5217\uff0c\u59cb\u7ec8\u91cd\u590d\u76f8\u540c\u7684\u8fc7\u7a0b\uff1a\u884c\u7684\u6bcf\u4e2a\u5143\u7d20\u4e58\u4ee5\u5217\u7684\u6bcf\u4e2a\u5143\u7d20\u4e00\u4e00\u76f8\u4e58\uff0c\u7136\u540e\u5c06\u7ed3\u679c\u76f8\u52a0\u3002<\/p>\n<h2 class=\"wp-block-heading\">\u89e3\u51b3\u77e9\u9635\u4e58\u6cd5\u7ec3\u4e60<\/h2>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e601<\/h3>\n<p>\u6c42\u89e3\u4ee5\u4e0b\u77e9\u9635\u4e58\u79ef\uff1a <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercice-resolu-de-produit-de-matrices-22.webp\" alt=\"\u7ec3\u4e60\u9010\u6b65\u89e3\u51b3 2x2 \u77e9\u9635\u7684\u4e58\u79ef\u3001\u77e9\u9635\u8fd0\u7b97\" width=\"172\" height=\"68\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u5b83\u662f 2 \u9636\u77e9\u9635\u7684\u4e58\u79ef\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-747926b92c1d388c1150613b0f471d7e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix} 1 &amp; 2 \\\\[1.1ex] 3 &amp; 4  \\end{pmatrix} \\cdot \\begin{pmatrix} 3 &amp; -2 \\\\[1.1ex] 1 &amp; 5  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"142\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u8981\u6c42\u89e3\u77e9\u9635\u4e58\u79ef\uff0c\u5fc5\u987b\u5c06\u5de6\u4fa7\u77e9\u9635\u7684\u884c\u4e58\u4ee5\u53f3\u4fa7\u77e9\u9635\u7684\u5217\u3002<\/p>\n<p class=\"has-text-align-left has-text-align-justify\">\u6240\u4ee5\u6211\u4eec\u9996\u5148\u5c06<strong>\u7b2c\u4e00\u884c\u4e58\u4ee5\u7b2c\u4e00\u5217\u3002<\/strong>\u4e3a\u6b64\uff0c\u6211\u4eec\u5c06\u7b2c\u4e00\u884c\u4e2d\u7684\u6bcf\u4e2a\u5143\u7d20\u4e58\u4ee5\u7b2c\u4e00\u5217\u4e2d\u7684\u6bcf\u4e2a\u5143\u7d20\uff0c\u7136\u540e\u5c06\u7ed3\u679c\u76f8\u52a0\u3002\u6240\u6709\u8fd9\u4e9b\u90fd\u5c06\u662f\u7ed3\u679c\u6570\u7ec4\u7b2c\u4e00\u884c\u7684\u7b2c\u4e00\u4e2a\u5143\u7d20\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-eff23eaf91738d6ffb383949e4b70856_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix} 1 &amp; 2 \\\\[1.1ex] 3 &amp; 4  \\end{pmatrix} \\cdot \\begin{pmatrix} 3 &amp; -2 \\\\[1.1ex] 1 &amp; 5  \\end{pmatrix}  = \\begin{pmatrix} 1\\cdot 3 +2 \\cdot 1 &amp; \\\\[1.1ex] &amp; \\end{pmatrix} = \\begin{pmatrix} 5 &amp; \\\\[1.1ex] &amp; \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"370\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u73b0\u5728\u8ba9\u6211\u4eec\u5c06<strong>\u7b2c\u4e00\u884c\u4e58\u4ee5\u7b2c\u4e8c\u5217\uff0c<\/strong>\u4ee5\u83b7\u5f97\u7ed3\u679c\u77e9\u9635\u7b2c\u4e00\u884c\u7684\u7b2c\u4e8c\u4e2a\u5143\u7d20\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-558838bcc38efc1aeeaf298d3e7151dc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix} 1 &amp; 2 \\\\[1.1ex] 3 &amp; 4  \\end{pmatrix} \\cdot \\begin{pmatrix} 3 &amp; -2 \\\\[1.1ex] 1 &amp; 5  \\end{pmatrix}  = \\begin{pmatrix} -1 &amp; 1\\cdot (-2) +2 \\cdot 5 \\\\[1.1ex] &amp; \\end{pmatrix} = \\begin{pmatrix}5 &amp; 8 \\\\[1.1ex] &amp; \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"429\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6211\u4eec\u8f6c\u5230\u7b2c\u4e8c\u884c\uff0c\u56e0\u6b64\u6211\u4eec\u5c06<strong>\u7b2c\u4e8c\u884c\u4e58\u4ee5\u7b2c\u4e00\u5217\uff1a<\/strong><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-daab54a49cc53c320bb2965f691fd7ed_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix} 1 &amp; 2 \\\\[1.1ex] 3 &amp; 4  \\end{pmatrix} \\cdot \\begin{pmatrix} 3 &amp; -2 \\\\[1.1ex] 1 &amp; 5  \\end{pmatrix} = \\begin{pmatrix} -1 &amp; 8 \\\\[1.1ex] 3\\cdot 3 +4 \\cdot 1 &amp; \\end{pmatrix}= \\begin{pmatrix}5 &amp; 8 \\\\[1.1ex] 13 &amp; \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"396\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6700\u540e\uff0c\u6211\u4eec\u5c06<strong>\u7b2c\u4e8c\u884c\u4e58\u4ee5\u7b2c\u4e8c\u5217<\/strong>\uff0c\u4ee5\u8ba1\u7b97\u8868\u7684\u6700\u540e\u4e00\u4e2a\u5143\u7d20\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a85e0d62a0db18c7712fd1b354f92bd5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix} 1 &amp; 2 \\\\[1.1ex] 3 &amp; 4  \\end{pmatrix} \\cdot \\begin{pmatrix} 3 &amp; -2 \\\\[1.1ex] 1 &amp; 5  \\end{pmatrix}= \\begin{pmatrix} -1 &amp; 8 \\\\[1.1ex]1 &amp; 3\\cdot (-2) +4 \\cdot 5 \\end{pmatrix}=\\begin{pmatrix} 5 &amp; 8 \\\\[1.1ex] 13 &amp; 14 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"447\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6240\u4ee5\u77e9\u9635\u4e58\u6cd5\u7684\u7ed3\u679c\u662f\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-76f1283db0175bc1a95b0a10c8961761_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix} \\bm{5} &amp; \\bm{8} \\\\[1.1ex]\\bm{13} &amp; \\bm{14} \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"72\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e602<\/h3>\n<p>\u6c42\u4ee5\u4e0b 2&#215;2 \u65b9\u9635\u4e58\u6cd5\u7684\u7ed3\u679c\uff1a <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercice-resolu-de-multiplication-matricielle-22.webp\" alt=\"\u9010\u6b65\u89e3\u51b3 2x2 \u77e9\u9635\u4e58\u6cd5\u3001\u77e9\u9635\u8fd0\u7b97\u7684\u7ec3\u4e60\" width=\"230\" height=\"70\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u5b83\u662f 2\u00d72 \u7ef4\u77e9\u9635\u7684\u4e58\u79ef\u3002<\/p>\n<p class=\"has-text-align-left\">\u8981\u89e3\u51b3\u4e58\u6cd5\u95ee\u9898\uff0c\u5fc5\u987b\u5c06\u5de6\u4fa7\u77e9\u9635\u7684\u884c\u4e58\u4ee5\u53f3\u4fa7\u77e9\u9635\u7684\u5217\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fc7217dab49f67df2a9d2abc561baf9d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{aligned} \\begin{pmatrix} 4 &amp; -1  \\\\[1.1ex] -2 &amp; 3  \\end{pmatrix} \\cdot \\begin{pmatrix} -2 &amp; 5 \\\\[1.1ex] 6 &amp; -3  \\end{pmatrix}  &amp; = \\begin{pmatrix} 4\\cdot (-2)+(-1) \\cdot 6 &amp;  4\\cdot 5+(-1) \\cdot (-3)  \\\\[1.1ex](-2)\\cdot (-2)+3 \\cdot 6 &amp; (-2)\\cdot 5+3 \\cdot (-3)\\end{pmatrix} \\\\[2ex] &amp; =\\begin{pmatrix} \\bm{-14} &amp; \\bm{23} \\\\[1.1ex]\\bm{22} &amp; \\bm{-19} \\end{pmatrix} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"129\" width=\"528\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-118\"><\/div>\n<\/div>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e603<\/h3>\n<p>\u8ba1\u7b97\u4ee5\u4e0b 3&#215;3 \u77e9\u9635\u4e58\u6cd5\uff1a <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercice-resolu-de-multiplication-matricielle-33.webp\" alt=\"\u7ec3\u4e60\u9010\u6b65\u89e3\u51b3 3x3 \u77e9\u9635\u7684\u4e58\u6cd5\u3001\u77e9\u9635\u8fd0\u7b97\" width=\"277\" height=\"109\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u8981\u6267\u884c 3\u00d73 \u77e9\u9635\u4e58\u6cd5\uff0c\u5fc5\u987b\u5c06\u5de6\u4fa7\u77e9\u9635\u7684\u884c\u4e58\u4ee5\u53f3\u4fa7\u77e9\u9635\u7684\u5217\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ef6ee7bb6e4ac095a9fd51a545b163b0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{array}{l} \\begin{pmatrix} 1 &amp; 2 &amp; 0 \\\\[1.1ex] 3 &amp; 2 &amp; -1 \\\\[1.1ex] 5 &amp; 1 &amp; -2  \\end{pmatrix} \\cdot \\begin{pmatrix} 3 &amp; 4 &amp; 0 \\\\[1.1ex] 1 &amp; 0 &amp; -2 \\\\[1.1ex] -1 &amp; 2 &amp; 1 \\end{pmatrix} = \\\\[7.5ex] =\\begin{pmatrix} 1 \\cdot 3+2 \\cdot 1+ 0 \\cdot (-1) &amp; 1 \\cdot 4+2 \\cdot 0+ 0 \\cdot 2 &amp; 1 \\cdot 0+2 \\cdot (-2)+ 0 \\cdot 1 \\\\[1.1ex] 3 \\cdot 3+2 \\cdot 1+ (-1) \\cdot (-1) &amp; 3 \\cdot 4+2 \\cdot 0+ (-1) \\cdot 2 &amp; 3 \\cdot 0+2 \\cdot (-2)+ (-1) \\cdot 1 \\\\[1.1ex] 5 \\cdot 3+1 \\cdot 1+ (-2) \\cdot (-1) &amp; 5 \\cdot 4+1 \\cdot 0+ (-2) \\cdot 2 &amp; 5 \\cdot 0+1 \\cdot (-2)+ (-2) \\cdot 1 \\end{pmatrix} = \\\\[7.5ex]  =\\begin{pmatrix} \\bm{5} &amp; \\bm{4} &amp; \\bm{-4} \\\\[1.1ex] \\bm{12} &amp; \\bm{10} &amp; \\bm{-5} \\\\[1.1ex] \\bm{18} &amp; \\bm{16} &amp; \\bm{-4} \\end{pmatrix}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"306\" width=\"643\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e604<\/h3>\n<p>\u7ed9\u5b9a\u77e9\u9635<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-25b206f25506e6d6f46be832f7119ffa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"13\" style=\"vertical-align: 0px;\"><\/p>\n<p>:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-27365f9993caf4fcdb747352e4ae539d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A= \\begin{pmatrix} 3 &amp; 1 &amp; -2 \\\\[1.1ex] 4 &amp; 2 &amp; -1   \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"134\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u8ba1\u7b97\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-307d37497055a6891b797bdb89b456e8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle 2A\\cdot A^t\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"53\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u6211\u4eec\u9996\u5148\u8ba1\u7b97\u8f6c\u7f6e\u77e9\u9635<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-25b206f25506e6d6f46be832f7119ffa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"13\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u505a\u4e58\u6cd5\u3002\u4e3a\u4e86\u5236\u4f5c\u8f6c\u7f6e\u77e9\u9635\uff0c\u6211\u4eec\u9700\u8981\u5c06\u884c\u66f4\u6539\u4e3a\u5217\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u77e9\u9635\u7684\u7b2c\u4e00\u884c\u6210\u4e3a\u77e9\u9635\u7684\u7b2c\u4e00\u5217\uff0c\u77e9\u9635\u7684\u7b2c\u4e8c\u884c\u6210\u4e3a\u77e9\u9635\u7684\u7b2c\u4e8c\u5217\u3002\u7136\u800c\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ac4785c47f2e48e15b3d98ba426848b6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^t= \\begin{pmatrix} 3 &amp; 4 \\\\[1.1ex] 1 &amp; 2  \\\\[1.1ex] -2 &amp; -1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"131\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u77e9\u9635\u8fd0\u7b97\u4ecd\u7136\u662f\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9513fa8cc6996e18e3cf287f0210817a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle 2A\\cdot A^t = 2 \\begin{pmatrix} 3 &amp; 1 &amp; -2 \\\\[1.1ex] 4 &amp; 2 &amp; -1   \\end{pmatrix} \\cdot \\begin{pmatrix} 3 &amp; 4 \\\\[1.1ex] 1 &amp; 2  \\\\[1.1ex] -2 &amp; -1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"291\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u73b0\u5728\u6211\u4eec\u53ef\u4ee5\u8fdb\u884c\u8ba1\u7b97\u4e86\u3002\u6211\u4eec\u9996\u5148\u8ba1\u7b97<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d4e94385e2fa1b091190a9ce266a8c43_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"22\" style=\"vertical-align: 0px;\"><\/p>\n<p>\uff08\u867d\u7136\u6211\u4eec\u4e5f\u53ef\u4ee5\u5148\u8ba1\u7b97<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ae92cabff7a388b31fe67b559dfead7d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A \\cdot A^t\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"44\" style=\"vertical-align: 0px;\"><\/p>\n<p>\uff09\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ae5e95f09aedac8f0861bf13fb9c78a4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{pmatrix} 2 \\cdot 3 &amp; 2 \\cdot 1 &amp; 2 \\cdot (-2) \\\\[1.1ex] 2 \\cdot 4 &amp; 2 \\cdot 2 &amp; 2 \\cdot (-1) \\end{pmatrix} \\cdot \\begin{pmatrix} 3 &amp; 4 \\\\[1.1ex] 1 &amp; 2  \\\\[1.1ex] -2 &amp; -1 \\end{pmatrix} =\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"299\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-24c003b8da1081d6ca494adc3356b06b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  =\\begin{pmatrix} 6 &amp; 2 &amp; -4 \\\\[1.1ex] 8 &amp; 4 &amp; -2 \\end{pmatrix} \\cdot \\begin{pmatrix} 3 &amp; 4 \\\\[1.1ex] 1 &amp; 2  \\\\[1.1ex] -2 &amp; -1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"220\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6700\u540e\uff0c\u6211\u4eec\u6c42\u89e3\u77e9\u9635\u7684\u4e58\u79ef\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0eb8f1817f0163a82ae39cc6c81d478e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{pmatrix} 6 \\cdot 3 +2 \\cdot 1 + (-4) \\cdot (-2) &amp; 6 \\cdot 4 +2 \\cdot 2 + (-4) \\cdot (-1) \\\\[1.1ex] 8 \\cdot 3 +4 \\cdot 1 + (-2) \\cdot (-2) &amp; 8 \\cdot 4 +4 \\cdot 2 + (-2) \\cdot (-1) \\end{pmatrix} =\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"438\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-33533be747b72497915048e486d16541_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle = \\begin{pmatrix} \\bm{28} &amp; \\bm{32} \\\\[1.1ex]\\bm{32} &amp; \\bm{42} \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"94\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e605<\/h3>\n<p>\u8003\u8651\u4ee5\u4e0b\u77e9\u9635\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6e26aec2eee6bcae0e344682d20038f2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix} 2 &amp; 4  \\\\[1.1ex] -3 &amp; 5 \\end{pmatrix} \\qquad B=\\begin{pmatrix} -1 &amp; -2  \\\\[1.1ex] 3 &amp; -3 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"275\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u8ba1\u7b97\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-78d69cf0ef5ec44cd0aacf00f4f2d613_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A\\cdot B - B \\cdot A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"102\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u8fd9\u662f\u4e00\u4e2a\u5c06\u51cf\u6cd5\u4e0e 2 \u9636\u77e9\u9635\u4e58\u6cd5\u76f8\u7ed3\u5408\u7684\u8fd0\u7b97\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-43f79f2d970bb02caaeddec34d5ad2a1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A\\cdot B - B \\cdot A= \\begin{pmatrix} 2 &amp; 4  \\\\[1.1ex] -3 &amp; 5 \\end{pmatrix}\\cdot \\begin{pmatrix} -1 &amp; -2  \\\\[1.1ex] 3 &amp; -3 \\end{pmatrix} - \\begin{pmatrix} -1 &amp; -2  \\\\[1.1ex] 3 &amp; -3 \\end{pmatrix}  \\cdot \\begin{pmatrix} 2 &amp; 4  \\\\[1.1ex] -3 &amp; 5 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"500\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6211\u4eec\u9996\u5148\u8ba1\u7b97\u5de6\u8fb9\u7684\u4e58\u6cd5\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-05ff586671fb0af274884169c54e5817_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix} 2\\cdot (-1) + 4 \\cdot 3 &amp; 2\\cdot (-2) + 4 \\cdot (-3) \\\\[1.1ex] (-3)\\cdot (-1) + 5 \\cdot 3 &amp; (-3)\\cdot (-2) + 5 \\cdot (-3)  \\end{pmatrix} - \\begin{pmatrix} -1 &amp; -2  \\\\[1.1ex] 3 &amp; -3 \\end{pmatrix}  \\cdot \\begin{pmatrix} 2 &amp; 4  \\\\[1.1ex] -3 &amp; 5 \\end{pmatrix} =\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"550\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-43c234a2d7aa4f9dcaf3140f617480f1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle= \\begin{pmatrix} 10 &amp; -16  \\\\[1.1ex] 18 &amp; -9 \\end{pmatrix} - \\begin{pmatrix} -1 &amp; -2  \\\\[1.1ex] 3 &amp; -3 \\end{pmatrix}  \\cdot \\begin{pmatrix} 2 &amp; 4  \\\\[1.1ex] -3 &amp; 5 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"308\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u73b0\u5728\u6211\u4eec\u89e3\u53f3\u8fb9\u7684\u4e58\u6cd5\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-552309dd1be2f69bb72633539809283b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix} 10 &amp; -16  \\\\[1.1ex] 18 &amp; -9 \\end{pmatrix} - \\begin{pmatrix} -1 \\cdot 2 +(-2) \\cdot (-3) &amp;  -1 \\cdot 4 +(-2) \\cdot 5  \\\\[1.1ex]3 \\cdot 2 +(-3) \\cdot (-3) &amp;  3 \\cdot 4 +(-3) \\cdot 5  \\end{pmatrix} =\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"449\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-eeac84965cc522402e869234a841ba67_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle =\\begin{pmatrix} 10 &amp; -16  \\\\[1.1ex] 18 &amp; -9 \\end{pmatrix} - \\begin{pmatrix} 4 &amp;-14  \\\\[1.1ex]15 &amp; -3  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"223\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6700\u540e\u6211\u4eec\u51cf\u53bb\u77e9\u9635\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-faefbc14fc49439616b3d131243eba79_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix} 10-4 &amp; -16 -(-14) \\\\[1.1ex] 18-15 &amp; -9-(-3) \\end{pmatrix} =\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"214\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-50bac6ac99e1cf6e4b77a1a8718f9fe4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle =\\begin{pmatrix} \\bm{6} &amp; \\bm{-2} \\\\[1.1ex] \\bm{3} &amp; \\bm{-6} \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"90\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h2 class=\"wp-block-heading\">\u4ec0\u4e48\u65f6\u5019\u4e0d\u80fd\u5c06\u4e24\u4e2a\u77e9\u9635\u76f8\u4e58\uff1f<\/h2>\n<p><strong>\u5e76\u975e\u6240\u6709\u77e9\u9635\u90fd\u53ef\u4ee5\u76f8\u4e58\u3002<\/strong>\u8981\u5c06\u4e24\u4e2a\u77e9\u9635\u76f8\u4e58\uff0c\u7b2c\u4e00\u4e2a\u77e9\u9635\u4e2d\u7684\u5217\u6570\u5fc5\u987b\u4e0e\u7b2c\u4e8c\u4e2a\u77e9\u9635\u4e2d\u7684\u884c\u6570\u5339\u914d\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u7531\u4e8e\u7b2c\u4e00\u4e2a\u77e9\u9635\u6709 3 \u5217\uff0c\u7b2c\u4e8c\u4e2a\u77e9\u9635\u6709 2 \u884c\uff0c\u56e0\u6b64\u65e0\u6cd5\u6267\u884c\u4ee5\u4e0b\u4e58\u6cd5\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b8314f9238afb3676bee5c9000c02752_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\begin{pmatrix} 1 &amp; 3 &amp; -2 \\\\[1.1ex] 4 &amp; 0 &amp; 5 \\end{pmatrix} \\cdot  \\begin{pmatrix} 2 &amp; 1  \\\\[1.1ex] 3 &amp; -1  \\end{pmatrix}  \\ \\longleftarrow \\ \\color{red} \\bm{\\times}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"274\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u4f46\u5982\u679c\u6211\u4eec\u98a0\u5012\u987a\u5e8f\uff0c\u5b83\u4eec\u5c31\u53ef\u4ee5\u6210\u500d\u589e\u52a0\u3002\u56e0\u4e3a\u7b2c\u4e00\u4e2a\u77e9\u9635\u6709\u4e24\u5217\uff0c\u7b2c\u4e8c\u4e2a\u77e9\u9635\u6709\u4e24\u884c\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-37d01cc99b578d3756312c3e6ff12cae_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{aligned} \\begin{pmatrix} 2 &amp; 1  \\\\[1.1ex] 3 &amp; -1  \\end{pmatrix} \\cdot \\begin{pmatrix} 1 &amp; 3 &amp; -2 \\\\[1.1ex] 4 &amp; 0 &amp; 5  \\end{pmatrix}  &amp; = \\begin{pmatrix} 2\\cdot 1 + 1 \\cdot 4 &amp; 2\\cdot 3 + 1 \\cdot 0 &amp; 2\\cdot (-2) + 1 \\cdot 5  \\\\[1.1ex] 3\\cdot 1 + (-1) \\cdot 4 &amp; 3\\cdot 3 + (-1) \\cdot 0 &amp; 3\\cdot (-2) + (-1) \\cdot 5   \\end{pmatrix} \\\\[2ex] &amp; = \\begin{pmatrix} \\bm{6} &amp; \\bm{6} &amp; \\bm{1}  \\\\[1.1ex]\\bm{-1} &amp; \\bm{9} &amp; \\bm{-11}   \\end{pmatrix}   \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"129\" width=\"624\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\">\u77e9\u9635\u4e58\u6cd5\u6027\u8d28<\/h2>\n<p>\u6b64\u7c7b\u77e9\u9635\u8fd0\u7b97\u5177\u6709\u4ee5\u4e0b\u7279\u70b9\uff1a<\/p>\n<ul>\n<li>\u77e9\u9635\u4e58\u6cd5\u662f<strong><span style=\"color:#1976d2;\">\u7ed3\u5408\u7684\uff1a<\/span><\/strong><\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-38541ff37ecadb79ac36ffb1e19cc187_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left( A \\cdot B \\right) \\cdot C = A \\cdot \\left( B \\cdot C \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"184\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li>\u77e9\u9635\u4e58\u6cd5\u8fd8\u5177\u6709<strong><span style=\"color:#1976d2;\">\u5206\u914d\u6027\u8d28\uff1a<\/span><\/strong> <\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1f8ca2784a9dd93cf71cd34d4d0303eb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A\\cdot \\left(B+C\\right) = A\\cdot B + A \\cdot C\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"216\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-119\"><\/div>\n<\/div>\n<ul>\n<li>\u77e9\u9635\u7684\u4e58\u79ef<strong><span style=\"color:#1976d2;\">\u4e0d\u53ef\u4ea4\u6362\uff1a<\/span><\/strong><\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-67f2cce38b1aab5659a5f888daf1ff84_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A \\cdot B \\neq B \\cdot A\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"104\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u4f8b\u5982\uff0c\u4ee5\u4e0b\u77e9\u9635\u4e58\u6cd5\u7ed9\u51fa\u7ed3\u679c\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3e780b321b160ad4a612e608199a374b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{aligned} \\begin{pmatrix} 1 &amp; -1  \\\\[1.1ex] 2 &amp; 3  \\end{pmatrix} \\cdot \\begin{pmatrix} -2 &amp; 5  \\\\[1.1ex] 0 &amp; 1   \\end{pmatrix}  &amp; = \\begin{pmatrix} 1\\cdot (-2) + (-1) \\cdot 0 &amp; 1\\cdot 5 + (-1) \\cdot 1   \\\\[1.1ex] 2\\cdot (-2) + 3 \\cdot 0 &amp;  2\\cdot 5 + 3 \\cdot 1    \\end{pmatrix} \\\\[2ex] &amp; = \\begin{pmatrix} \\bm{-2} &amp; \\bm{4} \\\\[1.1ex] \\bm{-4} &amp;  \\bm{13} \\end{pmatrix}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"129\" width=\"472\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u4f46\u5982\u679c\u6211\u4eec\u98a0\u5012\u77e9\u9635\u76f8\u4e58\u7684\u987a\u5e8f\uff0c\u4e58\u79ef\u7684\u7ed3\u679c\u4f1a\u6709\u6240\u4e0d\u540c\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-177d78a209e5d9e18828617e4913176d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{aligned}\\begin{pmatrix} -2 &amp; 5  \\\\[1.1ex] 0 &amp; 1   \\end{pmatrix} \\cdot  \\begin{pmatrix} 1 &amp; -1  \\\\[1.1ex] 2 &amp; 3  \\end{pmatrix} &amp; = \\begin{pmatrix} -2 \\cdot 1 + 5\\cdot 2 &amp;  -2 \\cdot (-1) + 5\\cdot 3  \\\\[1.1ex] 0 \\cdot 1 + 1\\cdot 2 &amp;  0 \\cdot (-1) + 1\\cdot 3   \\end{pmatrix} \\\\[2ex] &amp; = \\begin{pmatrix} \\bm{8} &amp;  \\bm{17}  \\\\[1.1ex] \\bm{2} &amp;  \\bm{3} \\end{pmatrix}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"129\" width=\"445\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul>\n<li>\u6b64\u5916\uff0c\u4efb\u4f55\u77e9\u9635\u4e58\u4ee5\u5355\u4f4d\u77e9\u9635\u90fd\u4f1a\u5f97\u5230\u76f8\u540c\u7684\u77e9\u9635\u3002\u8fd9\u79f0\u4e3a<strong><span style=\"color:#1976d2;\">\u4e58\u6cd5\u6052\u7b49\u6027\u8d28\uff1a<\/span><\/strong><\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7ab05972282922f1e10f75a50e636887_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A \\cdot I=A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"72\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2c32986a7c34108a47500a4f0ec2967b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle I \\cdot A=A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"72\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u4f8b\u5982\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9c1e72173419eb76554256cf6ccd0d2f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{pmatrix} 2 &amp; 7  \\\\[1.1ex] -6 &amp; 5  \\end{pmatrix} \\cdot \\begin{pmatrix} 1 &amp; 0  \\\\[1.1ex] 0 &amp; 1 \\end{pmatrix} = \\begin{pmatrix} \\bm{2} &amp; \\bm{7}  \\\\[1.1ex] \\bm{-6} &amp; \\bm{5}  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"242\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul>\n<li>\u6700\u540e\uff0c\u6b63\u5982\u60a8\u53ef\u80fd\u5df2\u7ecf\u731c\u5230\u7684\u90a3\u6837\uff0c\u4efb\u4f55\u77e9\u9635\u4e58\u4ee5\u96f6\u77e9\u9635\u90fd\u7b49\u4e8e\u96f6\u77e9\u9635\u3002\u8fd9\u79f0\u4e3a<strong><span style=\"color:#1976d2;\">\u96f6\u7684\u4e58\u6cd5\u6027\u8d28\uff1a<\/span><\/strong><\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-cf700c38f25e0c3bdf1c46851341a815_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A \\cdot 0=0\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"68\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ac3340bc96ba3df60f6ddeb6bbd3b4b8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle 0\\cdot A=0\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"68\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u4f8b\u5982\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3152d82054a80d61d548e969290aea4c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{pmatrix} 6 &amp; -4  \\\\[1.1ex] 3 &amp; 8  \\end{pmatrix} \\cdot \\begin{pmatrix} 0 &amp; 0  \\\\[1.1ex] 0 &amp; 0 \\end{pmatrix} = \\begin{pmatrix} \\bm{0} &amp; \\bm{0}  \\\\[1.1ex] \\bm{0} &amp; \\bm{0}\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"228\" style=\"vertical-align: 0px;\"><\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5728\u672c\u9875\u4e2d\uff0c\u6211\u4eec\u5c06\u4e86\u89e3\u5982\u4f55\u5bf9\u5c3a\u5bf8\u4e3a 2\u00d72\u30013\u00d73\u30014\u00d74 \u7b49\u7684\u77e9\u9635\u8fdb\u884c\u4e58\u6cd5\u3002\u6211\u4eec\u901a\u8fc7\u4e00\u4e2a\u4f8b\u5b50\u4e00\u6b65\u6b65\u89e3\u91ca\u77e9\u9635\u4e58\u6cd5 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/cn\/2x2-%e5%92%8c-3x3-%e7%9f%a9%e9%98%b5%e7%9a%84%e4%b9%98%e6%b3%95%e7%a4%ba%e4%be%8b%e5%92%8c%e7%bb%83%e4%b9%a0%e9%80%90%e6%ad%a5%e8%a7%a3%e5%86%b3\/\"> <span class=\"screen-reader-text\">\u77e9\u9635\u4e58\u6cd5<\/span> \u67e5\u770b\u5168\u6587 &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[19],"tags":[],"class_list":["post-281","post","type-post","status-publish","format-standard","hentry","category-19"],"yoast_head":"<!-- This site is optimized 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