{"id":277,"date":"2023-07-06T22:49:54","date_gmt":"2023-07-06T22:49:54","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e7%9f%a9%e9%98%b5%e5%8a%a0%e5%87%8f%e6%b3%95-2x2-3x3-%e7%a4%ba%e4%be%8b%e5%b7%b2%e8%a7%a3%e5%86%b3%e7%bb%83%e4%b9%a0\/"},"modified":"2023-07-06T22:49:54","modified_gmt":"2023-07-06T22:49:54","slug":"%e7%9f%a9%e9%98%b5%e5%8a%a0%e5%87%8f%e6%b3%95-2x2-3x3-%e7%a4%ba%e4%be%8b%e5%b7%b2%e8%a7%a3%e5%86%b3%e7%bb%83%e4%b9%a0","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e7%9f%a9%e9%98%b5%e5%8a%a0%e5%87%8f%e6%b3%95-2x2-3x3-%e7%a4%ba%e4%be%8b%e5%b7%b2%e8%a7%a3%e5%86%b3%e7%bb%83%e4%b9%a0\/","title":{"rendered":"\u5982\u4f55\u8ba1\u7b97\u77e9\u9635\u52a0\u6cd5\u548c\u51cf\u6cd5"},"content":{"rendered":"<p>\u5728\u672c\u9875\u4e2d\uff0c\u6211\u4eec\u5c06\u4e86\u89e3\u5982\u4f55<strong>\u8fdb\u884c\u77e9\u9635\u52a0\u6cd5\u548c\u51cf\u6cd5<\/strong>\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\u53d1\u73b0\u77e9\u9635\u52a0\u6cd5\u7684\u6240\u6709\u5c5e\u6027\u3002<\/p>\n<h2 class=\"wp-block-heading\">\u5982\u4f55\u8fdb\u884c\u77e9\u9635\u7684\u52a0\u6cd5\u548c\u51cf\u6cd5\uff1f<\/h2>\n<p class=\"has-background\" style=\"background-color:#dff6ff\">\u8981\u8ba1\u7b97<strong>\u4e24\u4e2a\u77e9\u9635\u7684\u52a0\u6cd5\uff08\u6216\u51cf\u6cd5\uff09\uff0c<\/strong>\u5fc5\u987b\u5c06\u77e9\u9635\u4e2d\u5360\u636e\u76f8\u540c\u4f4d\u7f6e\u7684\u5143\u7d20\u76f8\u52a0\uff08\u6216\u76f8\u51cf\uff09\u3002<\/p>\n<h2 class=\"wp-block-heading\">\u4f8b\u5b50\uff1a <\/h2>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/addition-et-soustraction-matricielle.webp\" alt=\"2x2 \u77e9\u9635\u7684\u52a0\u6cd5\u548c\u51cf\u6cd5\u3001\u77e9\u9635\u8fd0\u7b97\u7684\u793a\u4f8b\" class=\"wp-image-1267\" width=\"719\" height=\"373\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u8bf7\u6ce8\u610f\uff0c\u8981\u5bf9\u4e24\u4e2a\u77e9\u9635\u8fdb\u884c\u52a0\u6cd5\u6216\u51cf\u6cd5\uff0c\u5b83\u4eec<strong>\u5fc5\u987b\u5177\u6709\u76f8\u540c\u7684\u7ef4\u5ea6\u3002<\/strong>\u4f8b\u5982\uff0c\u4ee5\u4e0b\u77e9\u9635\u65e0\u6cd5\u76f8\u52a0\uff0c\u56e0\u4e3a\u7b2c\u4e00\u4e2a\u662f 2&#215;2 \u77e9\u9635\uff0c\u7b2c\u4e8c\u4e2a\u662f 3&#215;2 \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-082c648e15685c4ddeac2cc2da502d96_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix} 1 &amp; 3 \\\\[1.1ex] 0 &amp; 2 \\end{pmatrix}  + \\begin{pmatrix} 5 &amp; 6 \\\\[1.1ex] -2 &amp; 4 \\\\[1.1ex] 7 &amp; 1 \\end{pmatrix} \\ \\longleftarrow \\ \\color{red}  \\bm{\\times}}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"247\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\">\u89e3\u51b3\u4e86\u77e9\u9635\u52a0\u6cd5\u548c\u51cf\u6cd5\u7684\u7ec3\u4e60<\/h2>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e601<\/h3>\n<p>\u8ba1\u7b97\u4ee5\u4e0b 2&#215;2 \u77e9\u9635\u7684\u603b\u548c\uff1a <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercice-resolu-daddition-de-matrices-22.webp\" alt=\"\u9010\u6b65\u89e3\u51b3 2x2 \u77e9\u9635\u76f8\u52a0\u7684\u7ec3\u4e60\" class=\"wp-image-1271\" width=\"175\" 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\u4e24\u4e2a\u7ef4\u5ea6\u4e3a 2\u00d72 \u7684\u65b9\u9635\u4e4b\u548c\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-1d9428ad89a6bd149d5e63bc500879ac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix} 2 &amp; 3 \\\\[1.1ex] 4 &amp; 1  \\end{pmatrix} + \\begin{pmatrix} 2 &amp; 1 \\\\[1.1ex] 3 &amp; -1  \\end{pmatrix} =  \\begin{pmatrix} 2+2 &amp; 3+1 \\\\[1.1ex] 4+3 &amp; 1+(-1)  \\end{pmatrix} = \\begin{pmatrix} \\bm{4} &amp; \\bm{4} \\\\[1.1ex] \\bm{7} &amp; \\bm{0}  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"411\" 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>\u6267\u884c\u4ee5\u4e0b\u77e9\u9635\u51cf\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\/soustraction-matricielle-resolue-exercice-32.webp\" alt=\"\u7ec3\u4e60\u9010\u6b65\u89e3\u51b3\u77e9\u9635\u51cf\u6cd5\u3001\u77e9\u9635\u8fd0\u7b97\" width=\"193\" height=\"99\" 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\u4e24\u4e2a\u7ef4\u5ea6\u4e3a 3\u00d72 \u7684\u77e9\u9635\u7684\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-c371e1f01df59f4b8abb018e476e66d7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix} 5 &amp; 2  \\\\[1.1ex] 1 &amp; 6 \\\\[1.1ex] -3 &amp; 0  \\end{pmatrix} - \\begin{pmatrix} 4 &amp; 6 \\\\[1.1ex] -3 &amp; 1 \\\\[1.1ex]-2 &amp; 5 \\end{pmatrix} =  \\begin{pmatrix} 5-4 &amp; 2-6  \\\\[1.1ex] 1-(-3) &amp; 6-1 \\\\[1.1ex] -3-(-2) &amp; 0-5  \\end{pmatrix}  = \\begin{pmatrix} \\bm{1}&amp;  \\bm{-4} \\\\[1.1ex] \\bm{4} &amp; \\bm{5} \\\\[1.1ex] \\bm{-1} &amp; \\bm{-5} \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"477\" 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\u4e603<\/h3>\n<p>\u6c42\u4ee5\u4e0b\u7ef4\u5ea6\u4e3a 3\u00d73 \u7684\u77e9\u9635\u548c\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-daddition-de-matrices-33.webp\" alt=\"\u7ec3\u4e60\u9010\u6b65\u89e3\u51b3 3x3 \u77e9\u9635\u7684\u52a0\u6cd5\u3001\u77e9\u9635\u8fd0\u7b97\" width=\"255\" height=\"102\" 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\u4e24\u4e2a 3\u00d73 \u9636\u65b9\u9635\u7684\u548c\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-280299cb0b37e1a585466c4570439ec4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix} 4 &amp; 1 &amp; -2 \\\\[1.1ex] 0 &amp; 3 &amp; 2 \\\\[1.1ex] 5 &amp; 1 &amp; 6 \\end{pmatrix} + \\begin{pmatrix} 2 &amp; 0 &amp; 5 \\\\[1.1ex] -3 &amp; 4 &amp; 1 \\\\[1.1ex] 1 &amp; 7 &amp; 8 \\end{pmatrix} =  \\begin{pmatrix} 4+2 &amp; 1+0 &amp; -2+5 \\\\[1.1ex] 0+(-3) &amp; 3+4 &amp; 2+1 \\\\[1.1ex] 5+1 &amp; 1+7 &amp; 6+8 \\end{pmatrix} = \\begin{pmatrix} \\bm{6}&amp;  \\bm{1} &amp; \\bm{3} \\\\[1.1ex] \\bm{-3} &amp; \\bm{7} &amp; \\bm{3} \\\\[1.1ex] \\bm{6} &amp; \\bm{8} &amp; \\bm{14} \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"595\" 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:px; text-align:\"><\/div>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e604<\/h3>\n<p>\u8ba1\u7b97\u4ee5\u4e0b 2 \u9636\u65b9\u9635\u7684\u52a0\u6cd5\u548c\u51cf\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-combine-daddition-et-de-soustraction-de-matrices-22152.webp\" alt=\"\u7ec3\u4e60\u9010\u6b65\u89e3\u51b3 2x2 \u77e9\u9635\u7684\u52a0\u6cd5\u548c\u51cf\u6cd5\u3001\u77e9\u9635\u8fd0\u7b97\" width=\"323\" 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\u662f2\u9636\u65b9\u9635\u7684\u52a0\u6cd5\u548c\u51cf\u6cd5\u7684\u7ed3\u5408\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-c9fa4dba7699c0035ce5081756b4f62e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix} 5 &amp; 1 \\\\[1.1ex] -2 &amp; 4  \\end{pmatrix} +  \\begin{pmatrix} 6 &amp; -2 \\\\[1.1ex] 3 &amp; -5  \\end{pmatrix} -\\begin{pmatrix} -3 &amp; 4 \\\\[1.1ex] 1 &amp; -2  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"276\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u9996\u5148\u6211\u4eec\u5c06\u5de6\u4fa7\u7684\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-e1544e4da9d5ad2ea3ec2e4ad0326023_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix} 11 &amp; -1 \\\\[1.1ex] 1 &amp; -1  \\end{pmatrix}  -\\begin{pmatrix} -3 &amp; 4 \\\\[1.1ex] 1 &amp; -2  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"188\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u7136\u540e\u6211\u4eec\u8ba1\u7b97\u77e9\u9635\u7684\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-bd7f32fc7c9429fdfc3b5b745e85975c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix} \\bm{14} &amp; \\bm{-5} \\\\[1.1ex] \\bm{0} &amp; \\bm{1}  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"77\" 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>\u6c42\u89e3\u4ee5\u4e0b\u77e9\u9635\u52a0\u6cd5\u548c\u51cf\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-combine-daddition-et-de-soustraction-de-matrices-33.webp\" alt=\"\u7ec3\u4e60\u9010\u6b65\u89e3\u51b3 3x3 \u77e9\u9635\u7684\u52a0\u6cd5\u548c\u51cf\u6cd5\u3001\u77e9\u9635\u8fd0\u7b97\" width=\"437\" 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 3 \u9636\u65b9\u9635\u7684\u51cf\u6cd5\u548c\u52a0\u6cd5\u7684\u7ec4\u5408\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-ae66268adcd61258654056815542cf58_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix}5 &amp; 3 &amp; -1 \\\\[1.1ex] 6 &amp; -4 &amp; -2 \\\\[1.1ex] 2 &amp; 3 &amp; 2 \\end{pmatrix}-\\begin{pmatrix} 3 &amp; 2 &amp; 6 \\\\[1.1ex]-1 &amp; 5 &amp; 0 \\\\[1.1ex] 2 &amp; 4 &amp; 1 \\end{pmatrix} + \\begin{pmatrix}2 &amp; -1 &amp; 5 \\\\[1.1ex] -3 &amp; 1 &amp; 4 \\\\[1.1ex] 6 &amp; 0 &amp; 3 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"373\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u9996\u5148\uff0c\u6211\u4eec\u6c42\u89e3\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-4401b28babce2beaaa6f840c4ed8c959_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix}2 &amp; 1 &amp; -7 \\\\[1.1ex] 7 &amp; -9 &amp; -2 \\\\[1.1ex] 0 &amp; -1 &amp; 1 \\end{pmatrix}+\\begin{pmatrix}2 &amp; -1 &amp; 5 \\\\[1.1ex] -3 &amp; 1 &amp; 4 \\\\[1.1ex] 6 &amp; 0 &amp; 3 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"247\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6700\u540e\u6211\u4eec\u6dfb\u52a0\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-ffba1ade3d98c434960b54fc0c7ffe1f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix} \\bm{4} &amp; \\bm{0} &amp; \\bm{-2} \\\\[1.1ex] \\bm{4} &amp; \\bm{-8} &amp; \\bm{2}  \\\\[1.1ex] \\bm{6} &amp; \\bm{-1} &amp; \\bm{4} \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"108\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<p>\u73b0\u5728\u60a8\u5df2\u7ecf\u4e86\u89e3\u4e86\u5982\u4f55\u8fdb\u884c\u77e9\u9635\u52a0\u6cd5\u548c\u51cf\u6cd5\uff0c\u73b0\u5728\u662f\u4e86\u89e3\u5982\u4f55<a href=\"https:\/\/mathority.org\/cn\/2x2-\u548c-3x3-\u77e9\u9635\u7684\u4e58\u6cd5\u793a\u4f8b\u548c\u7ec3\u4e60\u9010\u6b65\u89e3\u51b3\/\">\u8fdb\u884c\u77e9\u9635\u4e58\u6cd5\u7684<\/a>\u597d\u65f6\u673a\uff0c\u8fd9\u65e0\u7591\u662f\u6700\u91cd\u8981\u7684\u77e9\u9635\u8fd0\u7b97\u3002\u60a8\u8fd8\u53ef\u4ee5\u627e\u5230\u5df2\u89e3\u51b3\u7684\u5206\u6b65\u77e9\u9635\u4e58\u6cd5\u7ec3\u4e60\uff0c\u4ee5\u4fbf\u60a8\u53ef\u4ee5\u50cf\u672c\u7f51\u7ad9\u7684\u6240\u6709\u9875\u9762\u4e00\u6837\u8fdb\u884c\u7ec3\u4e60\u3002 \ud83d\ude09<\/p>\n<h2 class=\"wp-block-heading\">\u6dfb\u52a0\u77e9\u9635\u5c5e\u6027<\/h2>\n<p>\u77e9\u9635\u52a0\u6cd5\u5177\u6709\u4ee5\u4e0b\u7279\u70b9\uff1a<\/p>\n<ul>\n<li>\u77e9\u9635\u52a0\u6cd5\u5177\u6709<strong><span style=\"color:#1976d2;\">\u4ea4\u6362\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-82f98b26399adb4b532b48c18bbbae16_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A +B = B + A\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"122\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u6211\u4eec\u6dfb\u52a0\u77e9\u9635\u7684\u987a\u5e8f\u662f\u76f8\u540c\u7684\u3002\u4e3a\u4e86\u6f14\u793a\u8fd9\u4e00\u70b9\uff0c\u6211\u4eec\u5c06\u901a\u8fc7\u66f4\u6539\u4e24\u4e2a\u77e9\u9635\u7684\u987a\u5e8f\u6765\u6dfb\u52a0\u5b83\u4eec\uff0c\u60a8\u5c06\u770b\u5230\u7ed3\u679c\u662f\u5982\u4f55\u76f8\u540c\u7684\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u6211\u4eec\u7ee7\u7eed\u6309\u4e00\u5b9a\u987a\u5e8f\u6dfb\u52a0\u4e24\u4e2a\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-a7eb454436dc3268ae8d6d2b62f395a7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix} 1 &amp; 3 \\\\[1.1ex] 2 &amp; -1 \\end{pmatrix}  +  \\begin{pmatrix} 4 &amp; 1 \\\\[1.1ex] 5 &amp; 2  \\end{pmatrix}= \\begin{pmatrix} \\bm{5} &amp; \\bm{4} \\\\[1.1ex] \\bm{7} &amp; \\bm{1}  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"237\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u8bf7\u6ce8\u610f\uff0c\u5982\u679c\u6211\u4eec\u98a0\u5012\u77e9\u9635\u76f8\u52a0\u7684\u987a\u5e8f\uff0c\u7ed3\u679c\u4fdd\u6301\u4e0d\u53d8\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-c1e9cd77bc490913ed30ff63815da355_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{pmatrix} 4 &amp; 1 \\\\[1.1ex] 5 &amp; 2  \\end{pmatrix}  +  \\begin{pmatrix} 1 &amp; 3 \\\\[1.1ex] 2 &amp; -1 \\end{pmatrix}=  \\begin{pmatrix} \\bm{5} &amp; \\bm{4} \\\\[1.1ex] \\bm{7} &amp; \\bm{1}  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"237\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-118\"><\/div>\n<\/div>\n<ul>\n<li>\u77e9\u9635\u52a0\u6cd5\u7684\u53e6\u4e00\u4e2a\u6027\u8d28\u662f<strong style=\"color: rgb(25, 118, 210);\">\u76f8\u53cd\u5143\u7d20\u7684\u6027\u8d28\uff1a<\/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-5195a54259faa7e6f78b82f517a58e2f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A + (-A) =0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"108\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u6362\u53e5\u8bdd\u8bf4\uff0c\u5982\u679c\u6211\u4eec\u6dfb\u52a0\u4e00\u4e2a\u77e9\u9635\u52a0\u4e0a\u76f8\u540c\u7684\u77e9\u9635\uff0c\u4f46\u5176\u6240\u6709\u5143\u7d20\u90fd\u6539\u53d8\u4e86\u7b26\u53f7\uff0c\u5219\u7ed3\u679c\u5c06\u662f\u4e00\u4e2a\u96f6\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-add832e83fe554143cbd4c710315c1c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{pmatrix} 4 &amp; 1 &amp; -3 \\\\[1.1ex] 2 &amp; 0 &amp; 9 \\end{pmatrix} + \\begin{pmatrix} -4 &amp; -1 &amp; 3 \\\\[1.1ex] -2 &amp; 0 &amp; -9 \\end{pmatrix} =  \\begin{pmatrix} \\bm{0} &amp; \\bm{0} &amp; \\bm{0} \\\\[1.1ex] \\bm{0} &amp; \\bm{0} &amp; \\bm{0}  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"353\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul>\n<li>\u77e9\u9635\u52a0\u6cd5\u8fd8\u5177\u6709<strong><span style=\"color:#1976d2;\">\u4e2d\u6027\u5143\u7d20\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-ac2f2c3b2989e505a4d61bab8759a13d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A + 0 =A\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"80\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p>\u8fd9\u4e2a\u6027\u8d28\u662f\u6700\u660e\u663e\u7684\uff0c\u5b83\u6307\u7684\u662f\u4efb\u4f55\u77e9\u9635\u52a0\u4e0a\u4e00\u4e2a\u5168\u96f6\u7684\u77e9\u9635\u90fd\u7b49\u4ef7\u4e8e\u540c\u4e00\u4e2a\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-ac7b0ba246075c196188798be2c6a034_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix} 2 &amp; 1 &amp; 5 \\\\[1.1ex] -3 &amp; 4 &amp; 9 \\\\[1.1ex] 1 &amp; 12 &amp; 6 \\end{pmatrix} + \\begin{pmatrix} 0 &amp; 0  &amp; 0 \\\\[1.1ex] 0 &amp; 0 &amp; 0 \\\\[1.1ex] 0 &amp; 0 &amp; 0  \\end{pmatrix} =  \\begin{pmatrix} \\bm{2} &amp; \\bm{1} &amp; \\bm{5} \\\\[1.1ex] \\bm{-3} &amp; \\bm{4} &amp; \\bm{9} \\\\[1.1ex] \\bm{1} &amp; \\bm{12} &amp; \\bm{6} \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"351\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul>\n<li>\u77e9\u9635\u52a0\u6cd5\u5177\u6709<strong><span style=\"color:#1976d2;\">\u7ed3\u5408\u5f8b\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-9b1aee88fd57af78c40429c93c7a2136_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\left( A + B \\right) + C  =A +  \\left(  B + C \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"219\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u6211\u4eec\u6dfb\u52a0\u77e9\u9635\u7684\u987a\u5e8f\u662f\u76f8\u540c\u7684\u3002\u770b\u4e0b\u9762\u7684\u4f8b\u5b50\uff0c\u6211\u4eec\u5c06 3 \u4e2a\u4e0d\u540c\u9636\u7684\u77e9\u9635\u76f8\u52a0\uff0c\u7ed3\u679c\u662f\u4e00\u6837\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-bae8e10bca43351f3a84f83bfe50ab55_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A =  \\begin{pmatrix} 2  \\\\[1.1ex] 1 \\end{pmatrix}  \\qquad B = \\begin{pmatrix} 4  \\\\[1.1ex] -1  \\end{pmatrix} \\qquad C = \\begin{pmatrix} 3  \\\\[1.1ex] 0 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"310\" 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-2cc2b7a14cacc7e403cd729cd863d309_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}\\left( A + B \\right) + C &amp; =\\left(  \\begin{pmatrix} 2  \\\\[1.1ex] 1  \\end{pmatrix}   +  \\begin{pmatrix} 4  \\\\[1.1ex] -1  \\end{pmatrix} \\right) + \\begin{pmatrix} 3  \\\\[1.1ex] 0  \\end{pmatrix}  \\\\[2ex] &amp; =   \\begin{pmatrix} 6  \\\\[1.1ex] 0  \\end{pmatrix} + \\begin{pmatrix} 3  \\\\[1.1ex] 0 \\end{pmatrix} \\\\[2ex] &amp; =\\begin{pmatrix} \\bm{9}  \\\\[1.1ex] \\bm{0} \\end{pmatrix} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"204\" width=\"313\" 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-7ab1f88e74b139451eccb0471988c3db_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} A +  \\left(  B + C \\right) &amp; = \\begin{pmatrix} 2  \\\\[1.1ex] 1  \\end{pmatrix}  + \\left( \\begin{pmatrix} 4  \\\\[1.1ex] -1  \\end{pmatrix}  +\\begin{pmatrix} 3  \\\\[1.1ex] 0  \\end{pmatrix} \\right) \\\\[2ex] &amp; =  \\begin{pmatrix} 2  \\\\[1.1ex] 1  \\end{pmatrix} + \\begin{pmatrix} 7  \\\\[1.1ex] -1  \\end{pmatrix} \\\\[2ex] &amp; = \\begin{pmatrix}  \\bm{9}  \\\\[1.1ex] \\bm{0}\\end{pmatrix} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"204\" width=\"314\" style=\"vertical-align: 0px;\"><\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5728\u672c\u9875\u4e2d\uff0c\u6211\u4eec\u5c06\u4e86\u89e3\u5982\u4f55\u8fdb\u884c\u77e9\u9635\u52a0\u6cd5\u548c\u51cf\u6cd5\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\u53d1\u73b0 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/cn\/%e7%9f%a9%e9%98%b5%e5%8a%a0%e5%87%8f%e6%b3%95-2x2-3x3-%e7%a4%ba%e4%be%8b%e5%b7%b2%e8%a7%a3%e5%86%b3%e7%bb%83%e4%b9%a0\/\"> <span class=\"screen-reader-text\">\u5982\u4f55\u8ba1\u7b97\u77e9\u9635\u52a0\u6cd5\u548c\u51cf\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-277","post","type-post","status-publish","format-standard","hentry","category-19"],"yoast_head":"<!-- This site is optimized 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