{"id":279,"date":"2023-07-06T22:09:09","date_gmt":"2023-07-06T22:09:09","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e6%95%b0%e5%ad%97%e4%b8%8e-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%e5%b7%b2%e8%a7%a3%e5%86%b3%e7%9a%84%e7%bb%83%e4%b9%a0\/"},"modified":"2023-07-06T22:09:09","modified_gmt":"2023-07-06T22:09:09","slug":"%e6%95%b0%e5%ad%97%e4%b8%8e-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%e5%b7%b2%e8%a7%a3%e5%86%b3%e7%9a%84%e7%bb%83%e4%b9%a0","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e6%95%b0%e5%ad%97%e4%b8%8e-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%e5%b7%b2%e8%a7%a3%e5%86%b3%e7%9a%84%e7%bb%83%e4%b9%a0\/","title":{"rendered":"\u5c06\u6570\u5b57\u4e58\u4ee5\u77e9\u9635"},"content":{"rendered":"<p>\u5728\u672c\u9875\u4e2d\uff0c\u6211\u4eec\u5c06\u4e86\u89e3\u5982\u4f55<strong>\u5c06\u6570\u5b57\u4e58\u4ee5\u77e9\u9635\u3002<\/strong>\u60a8\u8fd8\u6709\u793a\u4f8b\u53ef\u4ee5\u5e2e\u52a9\u60a8\u5b8c\u5168\u7406\u89e3\u5b83\u5e76\u89e3\u51b3\u7ec3\u4e60\u4ee5\u4fbf\u60a8\u53ef\u4ee5\u7ec3\u4e60\u3002\u60a8\u8fd8\u5c06\u627e\u5230\u6807\u91cf\u548c\u77e9\u9635\u4e58\u79ef\u7684\u6240\u6709\u5c5e\u6027\u3002<\/p>\n<h2 class=\"wp-block-heading\">\u5982\u4f55\u5c06\u4e00\u4e2a\u6570\u4e58\u4ee5\u4e00\u4e2a\u77e9\u9635\uff1f<\/h2>\n<p class=\"has-background\" style=\"background-color:#dff6ff\">\u8981\u5c06<strong>\u6570\u5b57\u4e58\u4ee5\u77e9\u9635<\/strong>\uff0c\u8bf7\u5c06\u77e9\u9635\u7684\u6bcf\u4e2a\u5143\u7d20\u4e58\u4ee5\u8be5\u6570\u5b57\u3002<\/p>\n<h2 class=\"wp-block-heading\">\u4f8b\u5b50\uff1a <\/h2>\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-dun-nombre-par-une-matrice.webp\" alt=\"\u6570\u5b57\u4e0e\u77e9\u9635\u76f8\u4e58\u6216\u4e58\u79ef\u7684\u793a\u4f8b\" width=\"514\" height=\"122\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\">\u89e3\u51b3\u4e86\u6570\u5b57\u4e0e\u77e9\u9635\u76f8\u4e58\u7684\u95ee\u9898<\/h2>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e601\uff1a <\/h3>\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-scalaire-entre-un-nombre-et-une-matrice-22.webp\" alt=\"\u89e3\u51b3\u4e86\u6570\u5b57\u4e0e 2x2 \u77e9\u9635\u7684\u4e58\u79ef\u4ee5\u53ca\u77e9\u9635\u8fd0\u7b97\u7684\u7ec3\u4e60\" width=\"107\" 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\u6807\u91cf\u4e0e 2 \u9636\u65b9\u9635\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-590b79c0fea524b963397181b6f2bea8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle 3 \\begin{pmatrix} 1 &amp; 3 \\\\[1.1ex] 2 &amp; -4  \\end{pmatrix} = \\begin{pmatrix} 3\\cdot 1 &amp; 3\\cdot 3 \\\\[1.1ex] 3\\cdot 2 &amp; 3\\cdot (-4)  \\end{pmatrix} = \\begin{pmatrix} \\bm{3} &amp; \\bm{9} \\\\[1.1ex] \\bm{6} &amp; \\bm{-12} \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"348\" 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\uff1a <\/h3>\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-dun-nombre-par-une-matrice-33.webp\" alt=\"\u7ec3\u4e60\u9010\u6b65\u89e3\u51b3\u6570\u5b57\u4e58\u4ee5 3x3 \u77e9\u9635\u3001\u77e9\u9635\u8fd0\u7b97\" width=\"184\" height=\"106\" 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\u4e00\u4e2a\u6570\u5b57\u4e0e 3 \u9636\u65b9\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-5042f0f8cd9b7a4d0e28974f793b145b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle -4 \\begin{pmatrix} 2 &amp; 1 &amp; 5 \\\\[1.1ex] -1 &amp; 0 &amp; 3 \\\\[1.1ex] 6 &amp; -2 &amp; -3  \\end{pmatrix} = \\begin{pmatrix} -4 \\cdot 2 &amp; -4 \\cdot 1 &amp; -4 \\cdot 5 \\\\[1.1ex] -4 \\cdot (-1) &amp; -4 \\cdot 0 &amp; -4 \\cdot 3 \\\\[1.1ex] -4 \\cdot 6 &amp; -4 \\cdot (-2) &amp; -4 \\cdot (-3)  \\end{pmatrix}= \\begin{pmatrix} \\bm{-8} &amp; \\bm{-4} &amp; \\bm{-20} \\\\[1.1ex] \\bm{4} &amp; \\bm{0} &amp; \\bm {-12}  \\\\[1.1ex] \\bm{-24} &amp; \\bm{8} &amp; \\bm {12} \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"627\" 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\u4e60 3\uff1a <\/h3>\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\/operations-combinees-avec-des-matrices-22152.webp\" alt=\"\u89e3\u51b3\u4e86\u6570\u5b57\u4e0e 2x2 \u77e9\u9635\u76f8\u4e58\u3001\u4e0e\u77e9\u9635\u76f8\u7ed3\u5408\u7684\u8fd0\u7b97\u7684\u7ec3\u4e60\" width=\"233\" 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\u4e00\u79cd\u5c06\u6570\u5b57\u4e58\u79ef\u4e0e\u7ef4\u5ea6 2\u00d72 \u77e9\u9635\u548c\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-56d2a40f021be13a5d92d0c10d353684_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle 2 \\begin{pmatrix} 5 &amp; 1 \\\\[1.1ex] -2 &amp; 3  \\end{pmatrix}+5\\begin{pmatrix} 5 &amp; 1 \\\\[1.1ex] -2 &amp; 3  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"193\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u6211\u4eec\u9996\u5148\u9700\u8981\u89e3\u51b3\u4ea7\u54c1\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-068901abef987767025bb01b24579226_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix} 10 &amp; 2 \\\\[1.1ex] -4 &amp; 6  \\end{pmatrix}+\\begin{pmatrix} 25 &amp; 5 \\\\[1.1ex] -10 &amp; 15  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"183\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6700\u540e\u6211\u4eec\u5c06\u7ed3\u679c\u77e9\u9635\u76f8\u52a0\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-d15ea16036f522af0f23fee0bb796757_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix} \\bm{35} &amp; \\bm{7} \\\\[1.1ex] \\bm{-14} &amp; \\bm{21}  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"85\" 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\u4e60 4\uff1a<\/h3>\n<p class=\"has-text-align-left\">\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-5374cb55dbbfa80c91a478b4cbdb2ee1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix} 2 &amp; -3 &amp; 5 \\\\ 1 &amp; 4 &amp; 0 \\\\ -3 &amp; 2 &amp; -5 \\end{pmatrix}  \\qquad B=\\begin{pmatrix} 6 &amp; 0 &amp; 2 \\\\ -3 &amp; 4 &amp; 1 \\\\ 3 &amp; 2 &amp; 7 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"64\" width=\"344\" style=\"vertical-align: -27px;\"><\/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-d5f0b93a77e7bb1b7b99d63546652e8b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle -2A+5I-3B\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"119\" style=\"vertical-align: -2px;\"><\/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\">\u5b83\u662f\u4e00\u79cd\u5c06\u6807\u91cf\u4e58\u6cd5\u4e0e 3\u00d73 \u7ef4\u77e9\u9635\u7684\u52a0\u6cd5\u548c\u51cf\u6cd5\u76f8\u7ed3\u5408\u7684\u8fd0\u7b97\u3002\u6b64\u5916\uff0c\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-18b5e45cb4a1ee02e81b9a980f828db8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"I\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u5355\u4f4d\u77e9\u9635\uff0c\u7531\u4e3b\u5bf9\u89d2\u7ebf\u4e0a\u7684 1 \u548c\u5176\u4f59\u5143\u7d20\u4e0a\u7684 0 \u7ec4\u6210\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-dce934040dc05714321dbbeac4e20c73_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle -2\\begin{pmatrix} 2 &amp; -3 &amp; 5 \\\\[1.1ex] 1 &amp; 4 &amp; 0 \\\\[1.1ex] -3 &amp; 2 &amp; -5 \\end{pmatrix}+5\\begin{pmatrix} 1 &amp; 0 &amp; 0 \\\\[1.1ex]  0 &amp; 1 &amp; 0 \\\\[1.1ex] 0 &amp; 0 &amp; 1 \\end{pmatrix} -3 \\begin{pmatrix} 6 &amp; 0 &amp; 2 \\\\[1.1ex] -3 &amp; 4 &amp; 1 \\\\[1.1ex] 3 &amp; 2 &amp; 7 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"412\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u6211\u4eec\u9996\u5148\u6267\u884c\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-dc26f29384abcfb6f08a36b601e4ff61_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix} -4 &amp; 6 &amp; -10 \\\\[1.1ex] -2 &amp; -8 &amp; 0 \\\\[1.1ex] 6 &amp; -4 &amp; 10 \\end{pmatrix}+\\begin{pmatrix} 5 &amp; 0 &amp; 0 \\\\[1.1ex] 0 &amp; 5 &amp; 0 \\\\[1.1ex] 0 &amp; 0 &amp; 5 \\end{pmatrix} - \\begin{pmatrix} 18 &amp; 0 &amp; 6 \\\\[1.1ex] -9 &amp; 12 &amp; 3 \\\\[1.1ex] 9 &amp; 6 &amp; 21 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"385\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6211\u4eec\u5c06\u524d\u4e24\u4e2a\u77e9\u9635\u76f8\u52a0\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-897ec02d46bc09bdec58d9b3246c6f4d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle   \\begin{pmatrix} 1 &amp; 6 &amp; -10 \\\\[1.1ex] -2 &amp; -3 &amp; 0 \\\\[1.1ex] 6 &amp; -4 &amp; 15 \\end{pmatrix}-\\begin{pmatrix} 18 &amp; 0 &amp; 6 \\\\[1.1ex] -9 &amp; 12 &amp; 3 \\\\[1.1ex] 9 &amp; 6 &amp; 21 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"274\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6700\u540e\uff0c\u6211\u4eec\u6267\u884c\u77e9\u9635\u51cf\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-9ddd808a46a137f4c7742545c4f76f46_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix} \\bm{-17} &amp; \\bm{6} &amp; \\bm{-16} \\\\[1.1ex] \\bm{7} &amp; \\bm{-15} &amp; \\bm{-3} \\\\[1.1ex] \\bm{-3} &amp; \\bm{-10} &amp; \\bm{-6} \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"148\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<p>\u5982\u679c\u8fd9\u4e9b\u5173\u4e8e\u77e9\u9635\u6807\u91cf\u4e58\u79ef\u7684\u7ec3\u4e60\u5bf9\u60a8\u6709\u7528\uff0c\u8bf7\u6beb\u4e0d\u72b9\u8c6b\u5730\u7ec3\u4e60\u9010\u6b65\u89e3\u51b3<a href=\"https:\/\/mathority.org\/cn\/\u77e9\u9635\u52a0\u51cf\u6cd5-2x2-3x3-\u793a\u4f8b\u5df2\u89e3\u51b3\u7ec3\u4e60\/\">\u7684\u77e9\u9635\u52a0\u6cd5<\/a>\u548c<a href=\"https:\/\/mathority.org\/cn\/2x2-\u548c-3x3-\u77e9\u9635\u7684\u4e58\u6cd5\u793a\u4f8b\u548c\u7ec3\u4e60\u9010\u6b65\u89e3\u51b3\/\">\u77e9\u9635\u4e58\u79ef\uff08\u8fd9\u4e24\u79cd\u7c7b\u578b\u7684\u77e9\u9635\u8fd0\u7b97\uff09<\/a>\u7684\u7ec3\u4e60\uff0c\u8fd9\u4e24\u79cd\u7c7b\u578b\u7684\u77e9\u9635\u8fd0\u7b97\u5c06\u5728\u66f4\u591a\u65b9\u9762\u91cd\u590d\u3002<\/p>\n<h2 class=\"wp-block-heading\">\u6570\u5b57\u4e0e\u77e9\u9635\u7684\u4e58\u79ef\u7684\u6027\u8d28<\/h2>\n<div class=\"adsb30\" style=\" margin:px; text-align:\"><\/div>\n<p>\u4f17\u6240\u5468\u77e5\uff0c<a href=\"https:\/\/mathority.org\/cn\/\u77e9\u9635\u7c7b\u578b\/\">\u77e9\u9635\u6709\u5f88\u591a\u79cd\u7c7b\u578b<\/a>\uff1a\u65b9\u9635\u3001\u4e09\u89d2\u77e9\u9635\u3001\u5355\u4f4d\u77e9\u9635\u7b49\u3002\u4f46\u5e78\u8fd0\u7684\u662f\uff0c\u6570\u5b57\u4e0e\u77e9\u9635\u7684\u4e58\u79ef\u7684\u6240\u6709\u5c5e\u6027\u5bf9\u4e8e\u6240\u6709\u7c7b\u522b\u7684\u77e9\u9635\u90fd\u6709\u6548\u3002<\/p>\n<p>\u4ee5\u4e0b\u662f\u6807\u91cf\u548c\u77e9\u9635\u4e4b\u95f4\u7684\u4e58\u6cd5\u7684\u6027\u8d28\uff1a<\/p>\n<ul>\n<li><strong><span style=\"color:#1976d2;\">\u5173\u8054\u5c5e\u6027\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-bff3550cd8d240f651354e6646e6bf15_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a \\cdot (b \\cdot A) = (a \\cdot b) \\cdot A\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"163\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u770b\u4e00\u4e0b\u4e0b\u9762\u7684\u4e24\u4e2a\u8fd0\u7b97\uff0c\u56e0\u4e3a\u65e0\u8bba\u6211\u4eec\u5982\u4f55\u5c06 2 \u548c 3 \u76f8\u4e58\uff0c\u5b83\u4eec\u90fd\u4f1a\u7ed9\u51fa\u76f8\u540c\u7684\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-b4e9fd568edd5833238d8d21fdf4d1a8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle 2 \\cdot \\left(3 \\cdot \\begin{pmatrix} 1 &amp; 0 \\\\[1.1ex] 2 &amp; -1 \\end{pmatrix} \\right) =2 \\cdot \\begin{pmatrix} 3 &amp; 0 \\\\[1.1ex] 6 &amp; -3 \\end{pmatrix} = \\begin{pmatrix} \\bm{6} &amp; \\bm{0} \\\\[1.1ex] \\bm{12} &amp; \\bm{-6} \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"372\" 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-9f8ee596b3e2ca16ff1c507717982ee1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle (2 \\cdot 3) \\cdot \\begin{pmatrix} 1 &amp; 0 \\\\[1.1ex] 2 &amp; -1 \\end{pmatrix}  =6 \\cdot \\begin{pmatrix} 1 &amp; 0 \\\\[1.1ex] 2 &amp; -1 \\end{pmatrix}   = \\begin{pmatrix} \\bm{6} &amp; \\bm{0} \\\\[1.1ex] \\bm{12} &amp; \\bm{-6}  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"357\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul>\n<li>\u5173\u4e8e\u6807\u91cf\u76f8\u52a0\u7684<strong><span style=\"color:#1976d2;\">\u5206\u914d\u6027\u8d28<\/span><\/strong>\uff1a<\/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-5829e6e40633068cc4f35b43184a41e2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b) \\cdot A = a \\cdot A+ b \\cdot A\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"192\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u6b63\u5982\u60a8\u5728\u4e0b\u9762\u7684\u793a\u4f8b\u4e2d\u770b\u5230\u7684\uff0c\u5982\u679c\u6211\u4eec\u5148\u5c06 1+2 \u52a0\u8d77\u6765\uff0c\u7136\u540e\u5c06\u5176\u4e58\u4ee5\u4e00\u4e2a\u77e9\u9635\uff0c\u6216\u8005\u5c06\u77e9\u9635\u5206\u522b\u4e58\u4ee5 1 \u548c 2\uff0c\u7136\u540e\u5c06\u7ed3\u679c\u76f8\u52a0\uff0c\u7ed3\u679c\u662f\u76f8\u540c\u7684\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-025ac9b0851ed93fd0c3870328d6144b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle (1 + 2) \\cdot  \\begin{pmatrix} 2 &amp; -1 \\\\[1.1ex] 3 &amp; 5 \\\\[1.1ex] -2 &amp; -4 \\end{pmatrix} =3 \\cdot  \\begin{pmatrix} 2 &amp; -1 \\\\[1.1ex] 3 &amp; 5 \\\\[1.1ex] -2 &amp; -4 \\end{pmatrix}=  \\begin{pmatrix} \\bm{6} &amp; \\bm{-3} \\\\[1.1ex] \\bm{9} &amp; \\bm{15} \\\\[1.1ex] \\bm{-6} &amp; \\bm{-12} \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"416\" 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-2f54f4d5ae113e2462b752c150b3f43b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle 1  \\cdot  \\begin{pmatrix} 2 &amp; -1 \\\\[1.1ex] 3 &amp; 5 \\\\[1.1ex] -2 &amp; -4 \\end{pmatrix} + 2  \\cdot  \\begin{pmatrix} 2 &amp; -1 \\\\[1.1ex] 3 &amp; 5 \\\\[1.1ex] -2 &amp; -4\\end{pmatrix} = \\begin{pmatrix} 2 &amp; -1 \\\\[1.1ex] 3 &amp; 5\\\\[1.1ex] -2 &amp; -4 \\end{pmatrix} +  \\begin{pmatrix} 4 &amp; -2 \\\\[1.1ex] 6 &amp; 10 \\\\[1.1ex] -4 &amp; -8\\end{pmatrix}=  \\begin{pmatrix} \\bm{6} &amp; \\bm{-3} \\\\[1.1ex] \\bm{9} &amp; \\bm{15} \\\\[1.1ex] \\bm{-6} &amp; \\bm{-12}  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"568\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul>\n<li>\u5173\u4e8e\u77e9\u9635\u52a0\u6cd5<strong><span style=\"color:#1976d2;\">\u7684\u5206\u914d\u5f8b<\/span><\/strong>\uff1a<\/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-fac6ec8cbb2d4ead773b75d0180bca20_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a \\cdot \\left(A + B \\right) = a \\cdot A + a \\cdot B\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"202\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u6362\u53e5\u8bdd\u8bf4\uff0c\u5c06\u4e24\u4e2a\u6570\u5b66\u77e9\u9635\u76f8\u52a0\uff0c\u7136\u540e\u5c06\u5b83\u4eec\u4e58\u4ee5\u4e00\u4e2a\u6570\uff0c\u76f8\u5f53\u4e8e\u5c06\u4e24\u4e2a\u77e9\u9635\u5206\u522b\u4e58\u4ee5\u76f8\u540c\u7684\u6570\uff0c\u7136\u540e\u5c06\u7ed3\u679c\u76f8\u52a0\u3002\u5728\u4e0b\u9762\u7684\u793a\u4f8b\u4e2d\uff0c\u60a8\u53ef\u4ee5\u68c0\u67e5\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-cdb35d5c66ee525c3d52fe7576e75758_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle 4 \\cdot  \\left( \\begin{pmatrix} 3 &amp; -2 \\\\[1.1ex] 6 &amp; -1 \\end{pmatrix}+\\begin{pmatrix} -1 &amp; 3 \\\\[1.1ex] 0 &amp; 4 \\end{pmatrix} \\right) =4 \\cdot   \\begin{pmatrix} 2 &amp; 1 \\\\[1.1ex] 6 &amp; 3 \\end{pmatrix}= \\begin{pmatrix} \\bm{8} &amp; \\bm{4} \\\\[1.1ex] \\bm{24} &amp; \\bm{12} \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"430\" 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-0ef9d3f8f503371fa5f3d2478f728d88_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle 4 \\cdot  \\begin{pmatrix} 3 &amp; -2 \\\\[1.1ex] 6 &amp; -1 \\end{pmatrix}+ 4 \\cdot \\begin{pmatrix} -1 &amp; 3 \\\\[1.1ex] 0 &amp; 4 \\end{pmatrix} = \\begin{pmatrix} 12 &amp; -8 \\\\[1.1ex] 24 &amp; -4 \\end{pmatrix}+\\begin{pmatrix} -4 &amp; 12 \\\\[1.1ex] 0 &amp; 16 \\end{pmatrix} = \\begin{pmatrix} \\bm{8} &amp; \\bm{4} \\\\[1.1ex] \\bm{24} &amp; \\bm{12} \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"530\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul>\n<li><strong><span style=\"color:#1976d2;\">\u4e2d\u6027\u5143\u7d20\u7684\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-244c951ff1cce8dc60f6d66a781c0580_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"1 \\cdot A = A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"71\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u5f53\u5c06\u77e9\u9635\u4e58\u4ee5 1 \u65f6\uff0c\u6211\u4eec\u4e0d\u4f1a\u4fee\u6539\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-0ee2c0afd1bf2904722701caca883125_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle 1 \\cdot   \\begin{pmatrix} 5 &amp; -4 &amp; 0 \\\\[1.1ex] 1 &amp; 3 &amp; -3 \\\\[1.1ex] 2 &amp; 9 &amp; 4 \\end{pmatrix}=\\begin{pmatrix} \\bm{5} &amp; \\bm{-4} &amp; \\bm{0} \\\\[1.1ex] \\bm{1} &amp; \\bm{3} &amp; \\bm{-3} \\\\[1.1ex] \\bm{2} &amp; \\bm{9} &amp; \\bm{4} \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"275\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u8fd9\u4e9b\u90fd\u662f\u6807\u91cf\u548c\u77e9\u9635\u4e58\u79ef\u7684\u6240\u6709\u5c5e\u6027\uff0c\u56e0\u6b64\u672c\u6587\u5c31\u7ed3\u675f\u4e86\u3002\u6211\u4eec\u5e0c\u671b\u60a8\u559c\u6b22\u5b83\uff0c\u6700\u91cd\u8981\u7684\u662f\uff0c\u60a8\u5b66\u4f1a\u4e86\u5982\u4f55\u89e3\u51b3\u6570\u5b57\u4e0e\u77e9\u9635\u7684\u4e58\u6cd5\u3002<\/p>\n<p>\u53e6\u4e00\u65b9\u9762\uff0c\u4e0e\u4e58\u6cd5\u76f8\u5173\u4e14\u975e\u5e38\u6709\u7528\u7684\u5176\u4ed6\u77e9\u9635\u8fd0\u7b97\u662f\u5e42\u3002\u5982\u679c\u60a8\u597d\u5947\u7684\u8bdd\uff0c\u6211\u4eec\u5728\u8fd9\u91cc\u4e3a\u60a8\u7559\u4e0b\u4e00\u4e2a\u9875\u9762\uff0c\u60a8\u5c06\u5728\u5176\u4e2d\u4e86\u89e3\u5b83\u662f\u4ec0\u4e48\u4ee5\u53ca\u5982\u4f55\u6c42\u89e3<a href=\"https:\/\/mathority.org\/cn\/2x2-\u548c-3x3-\u77e9\u9635\u7684\u5e42\u793a\u4f8b\u548c\u5df2\u89e3\u51b3\u7684\u7ec3\u4e60\/\">\u77e9\u9635\u7684\u5e42<\/a>\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5728\u672c\u9875\u4e2d\uff0c\u6211\u4eec\u5c06\u4e86\u89e3\u5982\u4f55\u5c06\u6570\u5b57\u4e58\u4ee5\u77e9\u9635\u3002\u60a8\u8fd8\u6709\u793a\u4f8b\u53ef\u4ee5\u5e2e\u52a9\u60a8\u5b8c\u5168\u7406\u89e3\u5b83\u5e76\u89e3\u51b3\u7ec3\u4e60\u4ee5\u4fbf\u60a8\u53ef\u4ee5\u7ec3\u4e60\u3002\u60a8\u8fd8\u5c06\u627e\u5230\u6807\u91cf &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/cn\/%e6%95%b0%e5%ad%97%e4%b8%8e-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%e5%b7%b2%e8%a7%a3%e5%86%b3%e7%9a%84%e7%bb%83%e4%b9%a0\/\"> <span class=\"screen-reader-text\">\u5c06\u6570\u5b57\u4e58\u4ee5\u77e9\u9635<\/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-279","post","type-post","status-publish","format-standard","hentry","category-19"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u6570\u5b57\u4e0e\u77e9\u9635\u7684\u4e58\u6cd5 - Mathority<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathority.org\/cn\/\u6570\u5b57\u4e0e-2x2-\u548c-3x3-\u77e9\u9635\u7684\u4e58\u6cd5\u793a\u4f8b\u548c\u5df2\u89e3\u51b3\u7684\u7ec3\u4e60\/\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u6570\u5b57\u4e0e\u77e9\u9635\u7684\u4e58\u6cd5 - Mathority\" \/>\n<meta property=\"og:description\" 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