{"id":305,"date":"2023-07-06T14:08:28","date_gmt":"2023-07-06T14:08:28","guid":{"rendered":"https:\/\/mathority.org\/ja\/%e3%83%91%e3%83%a9%e3%83%a1%e3%83%bc%e3%82%bf%e3%82%92%e4%bd%bf%e7%94%a8%e3%81%97%e3%81%9f%e9%80%a3%e7%ab%8b%e6%96%b9%e7%a8%8b%e5%bc%8f%e3%81%ae%e8%ad%b0%e8%ab%96\/"},"modified":"2023-07-06T14:08:28","modified_gmt":"2023-07-06T14:08:28","slug":"%e3%83%91%e3%83%a9%e3%83%a1%e3%83%bc%e3%82%bf%e3%82%92%e4%bd%bf%e7%94%a8%e3%81%97%e3%81%9f%e9%80%a3%e7%ab%8b%e6%96%b9%e7%a8%8b%e5%bc%8f%e3%81%ae%e8%ad%b0%e8%ab%96","status":"publish","type":"post","link":"https:\/\/mathority.org\/ja\/%e3%83%91%e3%83%a9%e3%83%a1%e3%83%bc%e3%82%bf%e3%82%92%e4%bd%bf%e7%94%a8%e3%81%97%e3%81%9f%e9%80%a3%e7%ab%8b%e6%96%b9%e7%a8%8b%e5%bc%8f%e3%81%ae%e8%ad%b0%e8%ab%96\/","title":{"rendered":"\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc\u3092\u4f7f\u7528\u3057\u305f\u9023\u7acb\u65b9\u7a0b\u5f0f\u306e\u8b70\u8ad6"},"content":{"rendered":"<p>\u3053\u306e\u30da\u30fc\u30b8\u3067\u306f\u3001<strong>\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc\u3092\u4f7f\u7528\u3057\u3066\u9023\u7acb\u65b9\u7a0b\u5f0f\u3092<\/strong>\u8b70\u8ad6\u3057\u89e3\u304f\u65b9\u6cd5\u3092\u8aac\u660e\u3057\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u9023\u7acb\u4e00\u6b21\u65b9\u7a0b\u5f0f\u306e\u4f8b\u3068\u89e3\u7b54\u6e08\u307f\u306e\u7df4\u7fd2\u554f\u984c\u3082\u898b\u3064\u304b\u308a\u307e\u3059\u3002<\/p>\n<p>\u4e00\u65b9\u3001\u9023\u7acb\u4e00\u6b21\u65b9\u7a0b\u5f0f\u3092\u89e3\u6790\u3059\u308b\u306b\u306f<a href=\"https:\/\/mathority.org\/ja\/\u30af\u30ec\u30fc\u30de\u30fc\u306e\u30eb\u30fc\u30eb\u4f8b\u3068\u89e3\u7b54\u6e08\u307f\u6f14\u7fd2\/\">\u3001\u30af\u30e9\u30de\u30fc\u5247\u3068\u306f\u4f55\u304b<\/a>\u3001 <a href=\"https:\/\/mathority.org\/ja\/\u30c8\u3099\u30fb\u30eb\u30fc\u30b7\u30e5\u30fb\u30d5\u30ed\u30d8\u3099\u30cb\u30a6\u30b9\u306e\u5b9a\u7406\u3068\u4f8b\u3068\u89e3\u6c7a\u6e08\u307f\u6f14\u7fd2\/\">\u30eb\u30fc\u30b7\u30a7\u30fb\u30d5\u30ed\u30d9\u30cb\u30a6\u30b9\u306e\u5b9a\u7406\u3068\u306f\u4f55\u304b<\/a>\u3092\u7406\u89e3\u3057\u3066\u304a\u304f\u3053\u3068\u304c\u91cd\u8981\u3067\u3059\u3002\u3053\u308c\u3089\u306f\u5e38\u306b\u4f7f\u7528\u3059\u308b\u3053\u3068\u306b\u306a\u308b\u305f\u3081\u3067\u3059\u3002<\/p>\n<h2 class=\"wp-block-heading\">\u30d1\u30e9\u30e1\u30fc\u30bf\u3092\u4f7f\u7528\u3057\u305f\u9023\u7acb\u4e00\u6b21\u65b9\u7a0b\u5f0f\u306e\u4f8b<\/h2>\n<ul>\n<li>\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc<em>m<\/em>\u306b\u95a2\u3057\u3066\u6b21\u306e\u9023\u7acb\u65b9\u7a0b\u5f0f\u3092\u8b70\u8ad6\u3057\u3066\u89e3\u304d\u307e\u3059\u3002<\/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-6ab2286d15c20029b98a5ea4622033d4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases} x+y+2z= 2 \\\\[1.5ex] -x+my+2z=0 \\\\[1.5ex] 3x+mz = 4\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"155\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u307e\u305a\u3001\u30b7\u30b9\u30c6\u30e0\u306e\u884c\u5217 A \u3068\u62e1\u5f35\u884c\u5217 A&#8217; \u3092\u4f5c\u6210\u3057\u307e\u3059\u3002<\/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-bef8e6b26595703c77c65178cbf90ffc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc}1 &amp; 1 &amp; 2 \\\\[1.1ex] -1 &amp; m &amp; 2 \\\\[1.1ex] 3 &amp; 0 &amp; m \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c} 1 &amp; 1 &amp; 2 &amp; 2 \\\\[1.1ex] -1 &amp; m &amp; 2 &amp; 0 \\\\[1.1ex] 3 &amp; 0 &amp; m &amp; 4 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"404\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u6b21\u306b\u3001Sarrus \u306e\u6cd5\u5247\u3092\u4f7f\u7528\u3057\u3066 A \u306e\u884c\u5217\u5f0f\u3092\u89e3\u304d\u3001\u884c\u5217\u304c\u3069\u306e\u30e9\u30f3\u30af\u3067\u3042\u308b\u304b\u3092\u78ba\u8a8d\u3057\u307e\u3059\u3002<\/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-e823f83f25f798bd854612a7352680d4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\begin{aligned}  \\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix} 1 &amp; 1 &amp; 2 \\\\[1.1ex] -1 &amp; m &amp; 2 \\\\[1.1ex] 3 &amp; 0 &amp; m \\end{vmatrix} &amp; =m^2+6+0-6m-0+m \\\\ &amp; = m^2-5m+6 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"110\" width=\"366\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001 A \u306e\u884c\u5217\u5f0f\u306e\u7d50\u679c\u306f<em>m<\/em>\u306e\u5024\u306b\u4f9d\u5b58\u3057\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001 <em>m<\/em>\u306e\u3069\u306e\u5024\u306b\u3064\u3044\u3066\u884c\u5217\u5f0f\u304c\u6d88\u3048\u308b\u304b\u3092\u898b\u3066\u307f\u307e\u3057\u3087\u3046\u3002\u3053\u308c\u3092\u884c\u3046\u306b\u306f\u3001<strong>\u7d50\u679c\u3092 0 \u306b\u8a2d\u5b9a\u3057\u307e\u3059<\/strong>\u3002<\/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-a2101d9a1d88f3e3d29bb4758d2fb8a6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle   m^2-5m+6 = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"133\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p>\u305d\u3057\u3066\u3001\u4e8c\u6b21\u65b9\u7a0b\u5f0f\u3092\u6b21\u306e\u5f0f\u3067\u89e3\u304d\u307e\u3059\u3002<\/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-51910dd69f9df6fdde6dd7597f889700_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  m = \\cfrac{-b \\pm \\sqrt{b^2-4ac}}{2a}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"170\" style=\"vertical-align: -12px;\"><\/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-e863082ac1f9b43df4de9fe93f5eb305_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  m = \\cfrac{-(-5) \\pm \\sqrt{(-5)^2-4\\cdot 1 \\cdot 6}}{2 \\cdot 1} = \\cfrac{5 \\pm \\sqrt{25-24}}{2} =\\cfrac{5 \\pm 1}{2} = \\begin{cases} \\bm{m = 3} \\\\[2ex] \\bm{m =2} \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"537\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001 <em>m<\/em>\u304c 2 \u307e\u305f\u306f 3 \u306b\u7b49\u3057\u3044\u5834\u5408\u3001A \u306e\u884c\u5217\u5f0f\u306f 0 \u306b\u306a\u308a\u307e\u3059\u3002\u307e\u305f\u3001 <em>m \u304c<\/em>2 \u307e\u305f\u306f 3 \u3068\u306f\u7570\u306a\u308b\u5834\u5408\u3001A \u306e\u884c\u5217\u5f0f\u306f 0 \u3068\u306f\u7570\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u5404\u30b1\u30fc\u30b9\u3092\u500b\u5225\u306b\u5206\u6790\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p style=\"font-size:26px\"> <span style=\"color:#1976d2;\"><strong>m\u22603 \u304a\u3088\u3073 m\u22602:<\/strong><\/span><\/p>\n<p>\u5148\u307b\u3069\u898b\u305f\u3088\u3046\u306b\u3001\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc<em>m<\/em>\u304c 2 \u304a\u3088\u3073 3 \u3068\u7570\u306a\u308b\u5834\u5408\u3001\u884c\u5217 A \u306e\u884c\u5217\u5f0f\u306f 0 \u3068\u306f\u7570\u306a\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001 <strong>A \u306e\u30e9\u30f3\u30af\u306f 3 \u3067\u3059<\/strong>\u3002<\/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-842ae3b68df41813d9e409968f3ae946_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  rg(A)=3\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"77\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u3055\u3089\u306b\u3001<strong>\u884c\u5217 A&#8217; \u306e\u968e\u6570\u3082 3 \u3067\u3059<\/strong>\u3002\u3053\u308c\u306f\u3001\u305d\u306e\u4e2d\u306b\u884c\u5217\u5f0f\u304c 0 \u3068\u306f\u7570\u306a\u308b 3\u00d73 \u90e8\u5206\u884c\u5217\u304c\u3042\u308b\u305f\u3081\u3067\u3059\u3002\u307e\u305f\u3001\u300c4\u00d74 \u884c\u5217\u5f0f\u3092\u4f5c\u308b\u3053\u3068\u306f\u3067\u304d\u306a\u3044\u300d\u305f\u3081\u3001\u968e\u6570 4 \u306b\u3059\u308b\u3053\u3068\u306f\u3067\u304d\u307e\u305b\u3093\u3002<\/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-150bbc9c8e363db471c2d5bc4f33e1fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  rg(A')=3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"82\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u6b21\u306b\u3001\u884c\u5217 A \u306e\u30e9\u30f3\u30af\u306f\u884c\u5217 A&#8217; \u306e\u30e9\u30f3\u30af\u3068\u30b7\u30b9\u30c6\u30e0\u306e\u672a\u77e5\u6570\u306e\u6570 (3) \u306b\u7b49\u3057\u3044\u305f\u3081\u3001<strong>\u30eb\u30fc\u30b7\u30a7-\u30d5\u30ed\u30d9\u30cb\u30a6\u30b9\u306e\u5b9a\u7406<\/strong>\u306b\u3088\u308a\u3001\u305d\u308c\u304c<strong>\u6c7a\u5b9a\u3055\u308c\u305f\u30b7\u30b9\u30c6\u30e0\u4e92\u63db\u6027<\/strong>(SCD) \u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002 :<\/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-557185e16670c72d23eec5a3ea13b487_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{array}{c} \\begin{array}{c} \\color{black}rg(A) = 3 \\\\[1.3ex] \\color{black}rg(A')=3 \\\\[1.3ex] \\color{black}\\text{N\\'umero de inc\\'ognitas} = 3    \\end{array}} \\\\ \\\\  \\color{blue} \\boxed{ \\color{black}\\phantom{^9_9} rg(A) = rg(A') = n = 3  \\color{blue} \\ \\bm{\\longrightarrow} \\ \\color{black} \\bm{SCD}\\phantom{^9_9}} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"138\" width=\"436\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u30b7\u30b9\u30c6\u30e0\u304c\u4e92\u63db\u6027\u6c7a\u5b9a\u30b7\u30b9\u30c6\u30e0 (DCS) \u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u3063\u305f\u3089\u3001\u305d\u308c\u3092\u89e3\u6c7a\u3059\u308b\u305f\u3081\u306b<strong>Cramer \u306e\u6cd5\u5247<\/strong>\u3092\u9069\u7528\u3057\u307e\u3059\u3002\u3053\u308c\u3092\u884c\u3046\u306b\u306f\u3001\u884c\u5217 A\u3001\u305d\u306e\u884c\u5217\u5f0f\u3001\u304a\u3088\u3073\u884c\u5217 A&#8217; \u304c\u6b21\u306e\u3068\u304a\u308a\u3067\u3042\u308b\u3053\u3068\u3092\u601d\u3044\u51fa\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/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-bef8e6b26595703c77c65178cbf90ffc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc}1 &amp; 1 &amp; 2 \\\\[1.1ex] -1 &amp; m &amp; 2 \\\\[1.1ex] 3 &amp; 0 &amp; m \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c} 1 &amp; 1 &amp; 2 &amp; 2 \\\\[1.1ex] -1 &amp; m &amp; 2 &amp; 0 \\\\[1.1ex] 3 &amp; 0 &amp; m &amp; 4 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"404\" 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-aac47361358555f733a42cffecabdbe9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix} 1 &amp; 1 &amp; 2 \\\\[1.1ex] -1 &amp; m &amp; 2 \\\\[1.1ex] 3 &amp; 0 &amp; m \\end{vmatrix} = m^2-5m+6\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"268\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u30af\u30e9\u30de\u30fc\u5247\u3067 x \u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u3001\u884c\u5217 A \u306e\u884c\u5217\u5f0f\u306e\u6700\u521d\u306e\u5217\u3092\u72ec\u7acb\u9805\u306e\u5217\u306b\u5909\u66f4\u3057\u3001\u305d\u308c\u3092 A \u306e\u884c\u5217\u5f0f\u3067\u5272\u308a\u307e\u3059\u3002<\/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-b17f49436fdadbb014011b5c461a4a56_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\bm{x} = \\cfrac{\\begin{vmatrix} 2 &amp; 1 &amp; 2\\\\[1.1ex]0&amp;m&amp;2 \\\\[1.1ex] 4 &amp; 0 &amp; m \\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{2m^2+8-8m}{m^2-5m+6}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"257\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Cramer \u306e\u898f\u5247\u3092\u4f7f\u7528\u3057\u3066 y \u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u3001A \u306e\u884c\u5217\u5f0f\u306e 2 \u756a\u76ee\u306e\u5217\u3092\u72ec\u7acb\u9805\u306e\u5217\u306b\u5909\u66f4\u3057\u3001\u305d\u308c\u3092 A \u306e\u884c\u5217\u5f0f\u3067\u5272\u308a\u307e\u3059\u3002<\/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-6a2bf75bdabfb2c83870f1869ce19e3d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{y} = \\cfrac{\\begin{vmatrix}1 &amp; 2 &amp; 2 \\\\[1.1ex] -1 &amp; 0 &amp; 2 \\\\[1.1ex] 3 &amp; 4 &amp; m \\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}}=\\cfrac{-4+2m}{m^2-5m+6}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"255\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Cramer \u306e\u898f\u5247\u3092\u4f7f\u7528\u3057\u3066 z \u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u3001A \u306e\u884c\u5217\u5f0f\u306e 3 \u756a\u76ee\u306e\u5217\u3092\u72ec\u7acb\u9805\u306e\u5217\u306b\u5909\u66f4\u3057\u3001\u305d\u308c\u3092 A \u306e\u884c\u5217\u5f0f\u3067\u5272\u308a\u307e\u3059\u3002<\/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-eebb3c4d280afc8a9aed8877ddcd4ac5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{z} = \\cfrac{\\begin{vmatrix}  1 &amp; 1 &amp; 2 \\\\[1.1ex] -1 &amp; m &amp; 0 \\\\[1.1ex] 3 &amp; 0 &amp; 4\\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{-2m+4}{m^2-5m+6}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"254\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001m\u22603 \u304a\u3088\u3073 m\u22602 \u306e\u5834\u5408\u306e\u9023\u7acb\u65b9\u7a0b\u5f0f\u306e\u89e3\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/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-7cba73a14f41d3314575e075f1229e87_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x =} \\cfrac{\\bm{2m^2+8-8m}}{\\bm{m^2-5m+6}} \\qquad \\bm{y=} \\cfrac{\\bm{-4+2m}}{\\bm{m^2-5m+6}} \\qquad \\bm{z =} \\cfrac{\\bm{-2m+4}}{\\bm{m^2-5m+6}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"470\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p>\u3054\u89a7\u306e\u3068\u304a\u308a\u3001\u3053\u306e\u5834\u5408\u3001\u9023\u7acb\u65b9\u7a0b\u5f0f\u306e\u89e3\u306f m \u306e\u95a2\u6570\u3067\u3059\u3002<\/p>\n<p> m \u304c 2 \u304a\u3088\u3073 3 \u3068\u7570\u306a\u308b\u5834\u5408\u306e\u89e3\u3092\u898b\u3064\u3051\u305f\u3089\u3001m \u304c 2 \u306b\u7b49\u3057\u3044\u5834\u5408\u306e\u7cfb\u3092\u89e3\u304d\u307e\u3059\u3002<\/p>\n<div class=\"adsb30\" style=\" margin:px; text-align:\"><\/div>\n<p style=\"font-size:26px\"> <span style=\"color:#1976d2;\"><strong>m=2:<\/strong><\/span><\/p>\n<p>\u3053\u3053\u3067\u3001\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc<em>m \u304c<\/em>2 \u306b\u7b49\u3057\u3044\u5834\u5408\u306e\u30b7\u30b9\u30c6\u30e0\u3092\u5206\u6790\u3057\u307e\u3059\u3002\u3053\u306e\u5834\u5408\u3001\u884c\u5217 A \u3068 A&#8217; \u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/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-f42ec4801f3e84cd44b4e0b2ae6351cf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc}1 &amp; 1 &amp; 2 \\\\[1.1ex] -1 &amp; 2 &amp; 2 \\\\[1.1ex] 3 &amp; 0 &amp; 2 \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c} 1 &amp; 1 &amp; 2 &amp; 2 \\\\[1.1ex] -1 &amp; 2 &amp; 2 &amp; 0 \\\\[1.1ex] 3 &amp; 0 &amp; 2 &amp; 4 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"377\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u524d\u306b\u898b\u305f\u3088\u3046\u306b\u3001m=2 \u306e\u5834\u5408\u3001A \u306e\u884c\u5217\u5f0f\u306f 0 \u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u884c\u5217 A \u306f\u30e9\u30f3\u30af 3 \u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u3057\u304b\u3057\u3001\u305d\u306e\u5185\u90e8\u306b\u306f 0 \u3068\u306f\u7570\u306a\u308b 2\u00d72 \u884c\u5217\u5f0f\u304c\u3042\u308a\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/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-55ef6cd148fca7a869e14760007e1f2e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}1 &amp; 1 \\\\[1.1ex] -1 &amp; 2  \\end{vmatrix} = 2 - (-1)=3 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"213\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u3053\u306e\u5834\u5408<strong>\u3001A \u306e\u30e9\u30f3\u30af\u306f 2 \u3067\u3059<\/strong>\u3002<\/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-eded270b78ab3d95ce827e3ea428efb1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  rg(A)=2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"76\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u884c\u5217 A \u306e\u30e9\u30f3\u30af\u304c\u308f\u304b\u3063\u305f\u3089\u3001A&#8217; \u306e\u30e9\u30f3\u30af\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002\u6700\u521d\u306e 3 \u5217\u306e\u884c\u5217\u5f0f\u306f 0 \u3092\u4e0e\u3048\u308b\u305f\u3081\u3001\u884c\u5217 A&#8217; \u5185\u306e\u4ed6\u306e\u53ef\u80fd\u306a 3\u00d73 \u884c\u5217\u5f0f\u3092\u8a66\u3057\u307e\u3059\u3002<\/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-2c68c742cae37c52ad2566b7feec5301_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} 1 &amp; 2 &amp; 2 \\\\[1.1ex] 2 &amp; 2 &amp; 0 \\\\[1.1ex] 0 &amp; 2 &amp; 4 \\end{vmatrix} = 0 \\qquad \\begin{vmatrix} 1 &amp; 2 &amp; 2 \\\\[1.1ex] -1 &amp; 2 &amp; 0 \\\\[1.1ex] 3 &amp; 2 &amp; 4 \\end{vmatrix}=0\\qquad \\begin{vmatrix} 1 &amp; 1 &amp; 2 \\\\[1.1ex] -1 &amp; 2 &amp; 0 \\\\[1.1ex] 3 &amp; 0 &amp; 4\\end{vmatrix}=0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"412\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u6b21\u5143 3\u00d73 \u306e\u8003\u3048\u3089\u308c\u308b\u3059\u3079\u3066\u306e\u884c\u5217\u5f0f\u306f 0 \u306b\u306a\u308a\u307e\u3059\u3002\u3057\u304b\u3057\u3001\u660e\u3089\u304b\u306b\u3001\u884c\u5217 A&#8217; \u306f\u884c\u5217 A \u3068\u540c\u3058 2\u00d72 \u306e\u975e 0 \u884c\u5217\u5f0f\u3092\u6301\u3061\u307e\u3059\u3002<\/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-55ef6cd148fca7a869e14760007e1f2e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}1 &amp; 1 \\\\[1.1ex] -1 &amp; 2  \\end{vmatrix} = 2 - (-1)=3 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"213\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001<strong>\u884c\u5217 A&#8217; \u3082\u30e9\u30f3\u30af 2 \u306b\u306a\u308a\u307e\u3059<\/strong>\u3002<\/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-80398cfd2fff647f81c0d4160f3b2f7e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  rg(A')=2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"81\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u884c\u5217 A \u306e\u30e9\u30f3\u30af\u306f\u884c\u5217 A&#8217; \u306e\u30e9\u30f3\u30af\u306b\u7b49\u3057\u3044\u304c\u3001\u3053\u308c\u3089 2 \u3064\u306f\u30b7\u30b9\u30c6\u30e0 (3) \u306e\u672a\u77e5\u6570\u306e\u6570\u3088\u308a\u5c0f\u3055\u3044\u305f\u3081\u3001<strong>\u30eb\u30fc\u30b7\u30a7-\u30d5\u30ed\u30d9\u30cb\u30a6\u30b9\u306e\u5b9a\u7406<\/strong>\u306b\u3088\u3063\u3066\u3001\u3053\u308c\u306f<strong>\u4e0d\u5b9a\u4e92\u63db\u6027\u306e\u3042\u308b\u30b7\u30b9\u30c6\u30e0<\/strong>\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002 (ICS):<\/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-96868a2569ea0ab5ca99d8dc606d3dc9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{array}{c} \\begin{array}{c} \\color{black}rg(A) = 2 \\\\[1.3ex] \\color{black}rg(A')=2 \\\\[1.3ex] \\color{black}\\text{N\\'umero de inc\\'ognitas} = 3    \\end{array}} \\\\ \\\\  \\color{blue} \\boxed{ \\color{black}\\phantom{^9_9} rg(A) = rg(A') = 2 \\ < \\ n =3  \\color{blue} \\ \\bm{\\longrightarrow} \\ \\color{black} \\bm{SCI}\\phantom{^9_9}} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"138\" width=\"475\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u3053\u308c\u306f ICS \u3067\u3042\u308b\u305f\u3081\u3001\u3053\u308c\u3092\u89e3\u6c7a\u3059\u308b\u306b\u306f\u30b7\u30b9\u30c6\u30e0\u3092\u5909\u63db\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u308c\u3092\u884c\u3046\u306b\u306f\u3001\u307e\u305a\u30b7\u30b9\u30c6\u30e0\u304b\u3089\u65b9\u7a0b\u5f0f\u3092\u524a\u9664\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u306e\u5834\u5408<strong>\u3001\u6700\u5f8c\u306e\u65b9\u7a0b\u5f0f\u3092\u524a\u9664\u3057\u307e\u3059\u3002<\/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-10c7facda35cb8894e6bbb236e4953f1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases} x+y+2z= 2 \\\\[1.5ex] -x+2y+2z=0 \\\\[1.5ex] \\cancel{3x+2z = 4} \\end{cases} \\longrightarrow \\quad \\begin{cases}  x+y+2z= 2 \\\\[1.5ex] -x+2y+2z=0\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"377\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p><strong>\u6b21\u306b\u3001\u5909\u6570 z \u3092 \u03bb \u306b\u5909\u63db\u3057\u307e\u3057\u3087\u3046\u3002<\/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-0155083595420da31a486927e953805c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases}x+y+2z= 2 \\\\[1.5ex] -x+2y+2z=0  \\end{cases} \\xrightarrow{z \\ = \\ \\lambda}\\quad \\begin{cases} x+y+2\\lambda= 2 \\\\[1.5ex] -x+2y+2\\lambda=0\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"398\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u305d\u3057\u3066<strong>\u3001\u03bb \u3092\u542b\u3080\u9805\u3092\u72ec\u7acb\u3057\u305f\u9805\u306b\u7f6e\u304d\u307e\u3059\u3002<\/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-b8486baee4be39f417988ee12b5e67c7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases}x+y=2-2\\lambda \\\\[1.5ex] -x+2y=-2\\lambda \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"133\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u30b7\u30b9\u30c6\u30e0\u306e\u884c\u5217 A \u3068\u884c\u5217 A&#8217; \u306f\u6b8b\u308a\u307e\u3059\u3002<\/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-8591e8c21bce2f49998311bbb08f7dee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} 1 &amp; 1  \\\\[1.1ex] -1 &amp; 2 \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{cc|c} 1 &amp; 1 &amp; 2 -2\\lambda \\\\[1.1ex] -1 &amp; 2 &amp; -2\\lambda \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"363\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u6700\u5f8c\u306b\u3001\u30b7\u30b9\u30c6\u30e0\u3092\u5909\u63db\u3057\u305f\u3089\u3001 <strong>Cramer \u306e\u30eb\u30fc\u30eb\u3092\u9069\u7528\u3057\u307e\u3059<\/strong>\u3002\u3053\u308c\u3092\u884c\u3046\u306b\u306f\u3001\u307e\u305a A \u306e\u884c\u5217\u5f0f\u3092\u89e3\u304d\u307e\u3059\u3002<\/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-c34669d7234c9736c350f793df337bd3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix} 1 &amp; 1  \\\\[1.1ex] -1 &amp; 2\\end{vmatrix} =2-(-1)=3\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"229\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Cramer \u306e\u898f\u5247\u3092\u4f7f\u7528\u3057\u3066<em>x<\/em>\u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u3001A \u306e\u884c\u5217\u5f0f\u306e\u6700\u521d\u306e\u5217\u3092\u72ec\u7acb\u9805\u306e\u5217\u306b\u5909\u66f4\u3057\u3001\u305d\u308c\u3092 A \u306e\u884c\u5217\u5f0f\u3067\u5272\u308a\u307e\u3059\u3002<\/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-987ebe052154332042afeb27535996f1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x} = \\cfrac{\\begin{vmatrix} 2 -2\\lambda &amp; 1  \\\\[1.1ex] -2\\lambda &amp; 2 \\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{4-4\\lambda-(-2\\lambda)}{3} = \\cfrac{\\bm{4-2\\lambda}}{\\bm{3}}\" title=\"Rendered by QuickLaTeX.com\" height=\"81\" width=\"345\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Cramer \u306e\u898f\u5247\u3092\u4f7f\u7528\u3057\u3066<em>y<\/em>\u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u3001A \u306e\u884c\u5217\u5f0f\u306e 2 \u756a\u76ee\u306e\u5217\u3092\u72ec\u7acb\u9805\u306e\u5217\u306b\u5909\u66f4\u3057\u3001\u305d\u308c\u3092 A \u306e\u884c\u5217\u5f0f\u3067\u5272\u308a\u307e\u3059\u3002<\/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-8a3c7b2cd7319f7f9db6df7df79abb50_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{y} = \\cfrac{\\begin{vmatrix} 1 &amp; 2 -2\\lambda  \\\\[1.1ex] -1 &amp; -2\\lambda  \\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}}=\\cfrac{-2\\lambda -(-2+2\\lambda)}{3} = \\cfrac{\\bm{2-4\\lambda} }{\\bm{3}}\" title=\"Rendered by QuickLaTeX.com\" height=\"81\" width=\"379\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001m=2 \u306e\u5834\u5408\u3001\u9023\u7acb\u65b9\u7a0b\u5f0f\u306e\u89e3\u306f \u03bb \u306e\u95a2\u6570\u306b\u306a\u308a\u307e\u3059\u3002\u3053\u308c\u306f SCI \u3067\u3042\u308b\u305f\u3081\u3001\u7121\u9650\u306e\u89e3\u304c\u5b58\u5728\u3057\u307e\u3059\u3002<\/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-1bc871365fab3194e382053fc6b083b5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x =}  \\cfrac{\\bm{4-2\\lambda}}{\\bm{3}}  \\qquad \\bm{y=}\\cfrac{\\bm{2-4\\lambda}}{\\bm{3}} \\qquad \\bm{z=\\lambda}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"274\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc<em>m \u304c<\/em>2 \u304a\u3088\u3073 3 \u3068\u7570\u306a\u308b\u5834\u5408\u3001\u304a\u3088\u3073 2 \u306b\u7b49\u3057\u3044\u5834\u5408\u306e\u30b7\u30b9\u30c6\u30e0\u306e\u89e3\u3092\u3059\u3067\u306b\u5206\u6790\u3057\u307e\u3057\u305f\u3002 \u3057\u305f\u304c\u3063\u3066\u3001\u5fc5\u8981\u306a\u306e\u306f\u6700\u5f8c\u306e\u30b1\u30fc\u30b9\u3001\u3064\u307e\u308a<em>m \u304c<\/em>3 \u306e\u5024\u3092\u53d6\u308b\u5834\u5408\u3060\u3051\u3067\u3059\u3002 <\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-118\"><\/div>\n<\/div>\n<p style=\"font-size:26px\"> <span style=\"color:#1976d2;\"><strong>m=3:<\/strong><\/span><\/p>\n<p>\u3053\u3053\u3067\u3001\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc<em>m \u304c<\/em>3 \u306e\u5834\u5408\u306b\u4f55\u304c\u8d77\u3053\u308b\u304b\u3092\u5206\u6790\u3057\u307e\u3059\u3002\u3053\u306e\u5834\u5408\u3001\u884c\u5217 A \u3068 A&#8217; \u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/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-c49bbc0d7d36606aa59be050c2682de5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc}1 &amp; 1 &amp; 2 \\\\[1.1ex] -1 &amp; 3 &amp; 2 \\\\[1.1ex] 3 &amp; 0 &amp; 3 \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c} 1 &amp; 1 &amp; 2 &amp; 2 \\\\[1.1ex] -1 &amp; 3 &amp; 2 &amp; 0 \\\\[1.1ex] 3 &amp; 0 &amp; 3 &amp; 4 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"377\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u524d\u306b\u898b\u305f\u3088\u3046\u306b\u3001m=3 \u306e\u5834\u5408\u3001A \u306e\u884c\u5217\u5f0f\u306f 0 \u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u884c\u5217 A \u306f\u30e9\u30f3\u30af 3 \u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u3057\u304b\u3057\u3001\u305d\u306e\u5185\u90e8\u306b\u306f 0 \u3068\u306f\u7570\u306a\u308b 2\u00d72 \u306e\u884c\u5217\u5f0f\u304c\u3042\u308a\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/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-d88ce42feb4bba9aa74aae98e1062c4a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{vmatrix}1 &amp; 1 \\\\[1.1ex] -1 &amp; 3  \\end{vmatrix} = 3 - (-1)=4 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"213\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u3053\u306e\u5834\u5408<strong>\u3001A \u306e\u30e9\u30f3\u30af\u306f 2 \u3067\u3059<\/strong>\u3002<\/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-eded270b78ab3d95ce827e3ea428efb1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  rg(A)=2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"76\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u884c\u5217 A \u306e\u30e9\u30f3\u30af\u304c\u308f\u304b\u3063\u305f\u3089\u3001A&#8217; \u306e\u30e9\u30f3\u30af\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002\u6700\u521d\u306e 3 \u5217\u306e\u884c\u5217\u5f0f\u306f 0 \u3092\u4e0e\u3048\u308b\u305f\u3081\u3001\u884c\u5217 A&#8217; \u5185\u306b\u3042\u308b\u5225\u306e 3\u00d73 \u884c\u5217\u5f0f\u3001\u305f\u3068\u3048\u3070\u6700\u5f8c\u306e 3 \u5217\u306e\u884c\u5217\u5f0f\u3092\u8a66\u3057\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-center\">\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5e6f1a5c155ca004c73e51bdcbe5ece9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} 1 &amp; 2 &amp; 2 \\\\[1.1ex] 3 &amp; 2 &amp; 0 \\\\[1.1ex] 0 &amp; 3 &amp; 4\\end{vmatrix}=2\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"100\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u4e00\u65b9\u3001\u884c\u5217 A&#8217; \u306b\u306f\u7d50\u679c\u304c 0 \u3068\u306f\u7570\u306a\u308b\u884c\u5217\u5f0f\u304c\u542b\u307e\u308c\u3066\u3044\u308b\u305f\u3081\u3001<strong>\u884c\u5217 A&#8217; \u306e\u30e9\u30f3\u30af\u306f 3 \u306b\u306a\u308a\u307e\u3059<\/strong>\u3002<\/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-150bbc9c8e363db471c2d5bc4f33e1fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  rg(A')=3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"82\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001m = 3 \u306e\u5834\u5408\u3001\u884c\u5217 A \u306e\u30e9\u30f3\u30af\u306f\u884c\u5217 A&#8217; \u306e\u30e9\u30f3\u30af\u3088\u308a\u3082\u4f4e\u304f\u306a\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u30eb\u30fc\u30b7\u30a7-\u30d5\u30ed\u30d9\u30cb\u30a6\u30b9\u306e\u5b9a\u7406\u304b\u3089\u3001\u30b7\u30b9\u30c6\u30e0\u306f<strong>\u4e92\u63db\u6027\u306e\u306a\u3044\u30b7\u30b9\u30c6\u30e0<\/strong>(IS) \u3067\u3042\u308b\u3068\u63a8\u5b9a\u3055\u308c\u307e\u3059<strong>\u3002<\/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-3454f804b63f3cca9bcf08bc93815f90_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{array}{c} \\begin{array}{c} \\color{black}rg(A) = 2 \\\\[1.3ex] \\color{black}rg(A')=3 \\\\[1.3ex] \\color{black}\\text{N\\'umero de inc\\'ognitas}=3\\end{array}} \\\\ \\\\  \\color{blue} \\boxed{ \\color{black}\\phantom{^9_9} rg(A)=2 \\ \\neq \\ rg(A') = 3 \\color{blue} \\ \\bm{\\longrightarrow} \\ \\color{black} \\bm{SI}\\phantom{^9_9}} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"138\" width=\"426\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001 <strong>m = 3 \u306e\u5834\u5408\u3001\u9023\u7acb\u65b9\u7a0b\u5f0f\u306b\u306f\u89e3\u304c\u3042\u308a\u307e\u305b\u3093\u3002<\/strong><\/p>\n<h3 class=\"wp-block-heading\">\u4f8b\u306e\u8981\u7d04:<\/h3>\n<p>\u3053\u308c\u307e\u3067\u898b\u3066\u304d\u305f\u3088\u3046\u306b\u3001\u9023\u7acb\u65b9\u7a0b\u5f0f\u306e\u89e3\u306f\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc<em>m<\/em>\u306e\u5024\u306b\u4f9d\u5b58\u3057\u307e\u3059\u3002\u8003\u3048\u3089\u308c\u308b\u3059\u3079\u3066\u306e\u30b1\u30fc\u30b9\u306e\u6982\u8981\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002 <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-32\">\n<div class=\"wp-block-column is-layout-flow\">\n<ul>\n<li> <span style=\"color:#1976d2;font-size:22px\"><strong>m\u22603 \u304a\u3088\u3073 m\u22602:<\/strong><\/span> <\/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-cf366a55bd307517f94fd8aa00cdf598_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{SCD} \\longrightarrow \\begin{cases} x = \\cfrac{2m^2+8-8m}{m^2-5m+6} \\\\[3.5ex] y =\\cfrac{-4+2m}{m^2-5m+6} \\\\[3.5ex] z = \\cfrac{-2m+4}{m^2-5m+6} \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"171\" width=\"240\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<ul>\n<li> <span style=\"color:#1976d2;font-size:22px\"><strong>m=2:<\/strong><\/span> <\/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-94002d4f4d866569ed7d6993dd977b81_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{SCI} \\longrightarrow \\begin{cases} x = \\cfrac{4-2\\lambda}{3} \\\\[3.5ex] y= \\cfrac{2-4\\lambda}{3} \\\\[3.5ex] z = \\lambda \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"150\" width=\"175\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<ul>\n<li> <span style=\"color:#1976d2;font-size:22px\"><strong>m=3:<\/strong><\/span><\/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-9b971789910fd078c90174ed3d662e9a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{SI} \\longrightarrow\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"54\" style=\"vertical-align: -1px;\"><\/p>\n<p>\u30b7\u30b9\u30c6\u30e0\u306b\u306f\u89e3\u6c7a\u7b56\u304c\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<\/div>\n<\/div>\n<p>\u3053\u3053\u3067\u306f\u3001\u30eb\u30fc\u30b7\u30e5\u306e\u5b9a\u7406\u3068\u30af\u30e9\u30de\u30fc\u306e\u6cd5\u5247\u3092\u4f7f\u7528\u3057\u3066\u30d7\u30ed\u30bb\u30b9\u5168\u4f53\u3092\u5b9f\u884c\u3057\u307e\u3057\u305f\u304c\u3001\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc\u3092\u542b\u3080\u9023\u7acb\u65b9\u7a0b\u5f0f\u306f<a href=\"https:\/\/mathority.org\/ja\/\u30b7\u3099\u30e7\u30fc\u30bf\u3099\u30f3-\u30ab\u3099\u30a6\u30b9-\u30e1\u30bd\u30c3\u30c8\u3099\u3068\u4f8b\u3068\u89e3\u6c7a\u6e08\u307f\u6f14\u7fd2\/\">\u3001\u30ac\u30a6\u30b9\u306e\u65b9\u6cd5 (\u6f14\u7fd2\u4ed8\u304d)<\/a>\u306b\u3088\u3063\u3066\u8b70\u8ad6\u304a\u3088\u3073\u89e3\u6c7a\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002\u3053\u306e\u65b9\u6cd5\u306e\u8a73\u7d30\u306b\u3064\u3044\u3066\u306f\u3001\u30ea\u30f3\u30af\u5148\u306e\u30da\u30fc\u30b8\u3067\u5b66\u3076\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3053\u306e\u30da\u30fc\u30b8\u306b\u306f\u3001\u624b\u9806\u306e\u8a73\u7d30\u306a\u8aac\u660e\u3001\u4f8b\u3001\u304a\u3088\u3073\u89e3\u6c7a\u3055\u308c\u305f\u6f14\u7fd2\u304c\u6bb5\u968e\u7684\u306b\u8a18\u8f09\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n<h2 class=\"wp-block-heading\">\u30d1\u30e9\u30e1\u30fc\u30bf\u4ed8\u304d\u4e00\u6b21\u65b9\u7a0b\u5f0f\u7cfb\u306e\u30c7\u30a3\u30b9\u30ab\u30c3\u30b7\u30e7\u30f3\u554f\u984c\u3092\u89e3\u6c7a\u3057\u307e\u3057\u305f<\/h2>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 1<\/h3>\n<p>\u6b21\u306e\u30d1\u30e9\u30e1\u30fc\u30bf\u4f9d\u5b58\u7dda\u5f62\u65b9\u7a0b\u5f0f\u7cfb\u306b\u3064\u3044\u3066\u8b70\u8ad6\u3057\u3066\u89e3\u304d\u307e\u3059\u3002 <\/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-de-systemes-dequations-a-parametres.webp\" alt=\"\u30d1\u30e9\u30e1\u30fc\u30bf\u3092\u4f7f\u7528\u3057\u305f\u9023\u7acb\u65b9\u7a0b\u5f0f\u306e\u6f14\u7fd2\u3092\u89e3\u3044\u305f\" class=\"wp-image-4014\" width=\"191\" height=\"123\" 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>\u89e3\u6c7a\u7b56\u3092\u53c2\u7167<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u307e\u305a\u3001\u30b7\u30b9\u30c6\u30e0\u306e\u884c\u5217 A \u3068\u62e1\u5f35\u884c\u5217 A&#8217; \u3092\u4f5c\u6210\u3057\u307e\u3059\u3002<\/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-b641845325965882d4aac899246cffb3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} 4 &amp; -1 &amp; 1 \\\\[1.1ex] 1 &amp; 1 &amp; -3 \\\\[1.1ex] 3 &amp; -2 &amp; -m \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c}4 &amp; -1 &amp; 1 &amp; 0 \\\\[1.1ex] 1 &amp; 1 &amp; -3 &amp; 0 \\\\[1.1ex] 3 &amp; -2 &amp; -m &amp; 0\\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"418\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6b21\u306b\u3001\u884c\u5217 A \u306e\u30e9\u30f3\u30af\u3092\u898b\u3064\u3051\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u308c\u3092\u884c\u3046\u306b\u306f\u3001\u884c\u5217\u5168\u4f53\u306e\u884c\u5217\u5f0f\u304c 0 \u3068\u7570\u306a\u308b\u304b\u3069\u3046\u304b\u3092\u78ba\u8a8d\u3057\u307e\u3059\u3002<\/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-4d36c7cffe0248a2f45cd5871abc6ed5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{aligned}\\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix} 4 &amp; -1 &amp; 1 \\\\[1.1ex] 1 &amp; 1 &amp; -3 \\\\[1.1ex] 3 &amp; -2 &amp; -m \\end{vmatrix} &amp; =-4m+9-2-3-24-m \\\\ &amp; =-5m-20 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"381\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> A \u306e\u884c\u5217\u5f0f\u306e\u7d50\u679c\u306f\u3001m \u306e\u5024\u306b\u4f9d\u5b58\u3057\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001m \u306e\u3069\u306e\u5024\u306b\u3064\u3044\u3066\u884c\u5217\u5f0f\u304c\u6d88\u3048\u308b\u304b\u3092\u898b\u3066\u307f\u307e\u3057\u3087\u3046\u3002\u3053\u308c\u3092\u884c\u3046\u306b\u306f\u3001\u7d50\u679c\u306e\u7d50\u679c\u3092 0 \u306b\u7b49\u3057\u304f\u3057\u3066\u3001\u65b9\u7a0b\u5f0f\u3092\u89e3\u304d\u307e\u3059\u3002 <\/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-e7d065a700c5f2a7f732719be777027f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-5m-20 = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"109\" 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-bc49744634d23cdf0faf446f33487eac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-5m = 20\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"79\" 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-ca8fa07f8716b941295db488a99a6425_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m = \\cfrac{20}{-5} = -4\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"110\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001m \u304c -4 \u306e\u5834\u5408\u3001A \u306e\u884c\u5217\u5f0f\u306f 0 \u306b\u306a\u308a\u307e\u3059\u3002\u307e\u305f\u3001m \u304c -4 \u3068\u7570\u306a\u308b\u5834\u5408\u3001A \u306e\u884c\u5217\u5f0f\u306f 0 \u3068\u306f\u7570\u306a\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u5404\u30b1\u30fc\u30b9\u3092\u500b\u5225\u306b\u5206\u6790\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-left\" style=\"font-size:26px\"> <span style=\"color:#1976d2;\"><strong>m\u2260-4:<\/strong><\/span><\/p>\n<p class=\"has-text-align-left\">\u5148\u307b\u3069\u898b\u305f\u3088\u3046\u306b\u3001\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc m \u304c -4 \u3068\u7570\u306a\u308b\u5834\u5408\u3001\u884c\u5217 A \u306e\u884c\u5217\u5f0f\u306f 0 \u3068\u306f\u7570\u306a\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001A \u306e\u30e9\u30f3\u30af\u306f 3 \u306b\u306a\u308a\u307e\u3059\u3002<\/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-842ae3b68df41813d9e409968f3ae946_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  rg(A)=3\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"77\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3055\u3089\u306b\u3001\u884c\u5217 A&#8217; \u306e\u968e\u6570\u3082 3 \u3067\u3059\u3002\u305d\u306e\u4e2d\u306b\u306f\u884c\u5217\u5f0f\u304c 0 \u3068\u306f\u7570\u306a\u308b 3\u00d73 \u90e8\u5206\u884c\u5217\u304c\u3042\u308b\u305f\u3081\u3067\u3059\u3002\u307e\u305f\u3001\u300c4\u00d74 \u884c\u5217\u5f0f\u3092\u4f5c\u308b\u3053\u3068\u306f\u3067\u304d\u306a\u3044\u300d\u305f\u3081\u3001\u968e\u6570 4 \u306b\u306a\u308b\u3053\u3068\u306f\u3042\u308a\u5f97\u307e\u305b\u3093\u3002<\/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-150bbc9c8e363db471c2d5bc4f33e1fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  rg(A')=3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"82\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001<strong>\u30eb\u30fc\u30b7\u30a7-\u30d5\u30ed\u30d9\u30cb\u30a6\u30b9\u306e\u5b9a\u7406\u3092\u9069\u7528\u3059\u308b\u3068\u3001<\/strong> A \u306e\u7bc4\u56f2\u304c A&#8217; \u306e\u7bc4\u56f2\u304a\u3088\u3073\u672a\u77e5\u6570\u306e\u6570\u306b\u7b49\u3057\u3044\u305f\u3081\u3001\u3053\u308c\u304c<strong>\u4e92\u63db\u6027\u306e\u3042\u308b\u6c7a\u5b9a\u7cfb<\/strong>(SCD) \u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/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-31b495a48a75d7af1f23e38818bf4eca_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{array}{c} \\begin{array}{c} \\color{black}rg(A) = 3 \\\\[1.3ex] \\color{black}rg(A')=3 \\\\[1.3ex] \\color{black}\\text{N\\'umero de inc\\'ognitas} = 3 \\end{array}} \\\\ \\\\ \\color{blue} \\boxed{ \\color{black}\\phantom{^9_9} rg(A) = rg(A') = n = 3 \\color{blue} \\ \\bm{\\longrightarrow} \\ \\color{black} \\bm{SCD}\\phantom{^9_9}} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"138\" width=\"436\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u30b7\u30b9\u30c6\u30e0\u304c SCD \u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u3063\u305f\u3089\u3001\u305d\u308c\u3092\u89e3\u6c7a\u3059\u308b\u305f\u3081\u306b Cramer \u306e\u6cd5\u5247\u3092\u9069\u7528\u3057\u307e\u3059\u3002\u3053\u308c\u3092\u884c\u3046\u306b\u306f\u3001\u884c\u5217 A\u3001\u305d\u306e\u884c\u5217\u5f0f\u3001\u304a\u3088\u3073\u884c\u5217 A&#8217; \u304c\u6b21\u306e\u3068\u304a\u308a\u3067\u3042\u308b\u3053\u3068\u3092\u601d\u3044\u51fa\u3057\u3066\u304f\u3060\u3055\u3044\u3002 <\/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-e9e0bd352ad7713a03824ead1239041c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} 4 &amp; -1 &amp; 1  \\\\[1.1ex] 1 &amp; 1 &amp; -3 \\\\[1.1ex] 3 &amp; -2 &amp; -m \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c} 4 &amp; -1 &amp; 1 &amp; 0 \\\\[1.1ex] 1 &amp; 1 &amp; -3 &amp; 0 \\\\[1.1ex] 3 &amp; -2 &amp; -m &amp; 0\\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"418\" 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-530cb4576ee1a91d6246ed6cf9dd0fc8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix} 4 &amp; -1 &amp; 1  \\\\[1.1ex] 1 &amp; 1 &amp; -3 \\\\[1.1ex] 3 &amp; -2 &amp; -m\\end{vmatrix} =-5m-20\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"253\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Cramer \u306e\u898f\u5247\u3092\u4f7f\u7528\u3057\u3066 xatex] \u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u3001A \u306e\u884c\u5217\u5f0f\u306e\u6700\u521d\u306e\u5217\u3092\u72ec\u7acb\u9805\u306e\u5217\u3067\u5909\u66f4\u3057\u3001\u305d\u308c\u3092 A \u306e\u884c\u5217\u5f0f\u3067\u5272\u308a\u307e\u3059\u3002<\/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-b076bbda8d086abedb459570d74c80a9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x} = \\cfrac{\\begin{vmatrix} 0 &amp; -1 &amp; 1  \\\\[1.1ex] 0 &amp; 1 &amp; -3 \\\\[1.1ex] 0 &amp; -2 &amp; -m\\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{0}{-5m-20} = \\bm{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"280\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u672a\u77e5\u6570\u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u3001\u30af\u30e9\u30de\u30fc\u306e\u6cd5\u5247\u3092\u4f7f\u7528\u3057\u3066\u3001A \u306e\u884c\u5217\u5f0f\u306e 2 \u756a\u76ee\u306e\u5217\u3092\u72ec\u7acb\u9805\u306e\u5217\u3067\u5909\u66f4\u3057\u3001\u305d\u308c\u3092 A \u306e\u884c\u5217\u5f0f\u3067\u5272\u308a\u307e\u3059\u3002<\/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-f642a8cb2fd174e5c383a4df53e11a2e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{y} = \\cfrac{\\begin{vmatrix} 4 &amp; 0 &amp; 1  \\\\[1.1ex] 1 &amp; 0 &amp; -3 \\\\[1.1ex] 3 &amp; 0 &amp; -m \\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{0}{-5m-20} = \\bm{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"265\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Cramer \u306e\u898f\u5247\u3092\u4f7f\u7528\u3057\u3066 z \u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u3001A \u306e\u884c\u5217\u5f0f\u306e 3 \u756a\u76ee\u306e\u5217\u3092\u72ec\u7acb\u9805\u306e\u5217\u306b\u5909\u66f4\u3057\u3001\u305d\u308c\u3092 A \u306e\u884c\u5217\u5f0f\u3067\u5272\u308a\u307e\u3059\u3002<\/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-5020a9ba4995b9715d8d1fb4720952b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{z} = \\cfrac{\\begin{vmatrix}4 &amp; -1 &amp; 0 \\\\[1.1ex] 1 &amp; 1 &amp; 0 \\\\[1.1ex] 3 &amp; -2 &amp; 0 \\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{0}{-5m-20} = \\bm{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"258\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001m\u2260-4 \u306e\u5834\u5408\u306e\u9023\u7acb\u65b9\u7a0b\u5f0f\u306e\u89e3\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-center\"> <strong>x=0 y=0 z=0<\/strong><\/p>\n<p class=\"has-text-align-left\" style=\"font-size:26px\"> <span style=\"color:#1976d2;\"><strong>m=-4:<\/strong><\/span><\/p>\n<p class=\"has-text-align-left\">\u6b21\u306b\u3001\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc m \u304c -4 \u306e\u5834\u5408\u306e\u30b7\u30b9\u30c6\u30e0\u3092\u5206\u6790\u3057\u307e\u3059\u3002\u3053\u306e\u5834\u5408\u3001\u884c\u5217 A \u3068 A&#8217; \u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/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-e585e6465d27ea27ccc2c1a6ec1fe9ae_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} 4 &amp; -1 &amp; 1 \\\\[1.1ex] 1 &amp; 1 &amp; -3 \\\\[1.1ex] 3 &amp; -2 &amp; 4 \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c}4 &amp; -1 &amp; 1 &amp; 0 \\\\[1.1ex] 1 &amp; 1 &amp; -3 &amp; 0 \\\\[1.1ex] 3 &amp; -2 &amp; 4 &amp; 0\\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"405\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u524d\u306b\u898b\u305f\u3088\u3046\u306b\u3001m=-4 \u306e\u5834\u5408\u3001A \u306e\u884c\u5217\u5f0f\u306f 0 \u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u884c\u5217 A \u306f\u30e9\u30f3\u30af 3 \u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u3057\u304b\u3057\u3001\u305d\u306e\u5185\u90e8\u306b\u306f 0 \u3068\u306f\u7570\u306a\u308b 2\u00d72 \u306e\u884c\u5217\u5f0f\u304c\u3042\u308a\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/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-a62d150aef4ec798814d25c988b0afd7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle   \\begin{vmatrix}4 &amp; -1 \\\\[1.1ex] 1 &amp; 1 \\end{vmatrix} =4-(-1)=5 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"213\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u884c\u5217\u306b\u306f 0 \u3068\u306f\u7570\u306a\u308b\u6b21\u6570 2 \u306e\u884c\u5217\u5f0f\u304c\u3042\u308b\u305f\u3081\u3001\u884c\u5217 A \u306f\u30e9\u30f3\u30af 2 \u306b\u306a\u308a\u307e\u3059\u3002<\/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-eded270b78ab3d95ce827e3ea428efb1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  rg(A)=2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"76\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> A \u306e\u30e9\u30f3\u30af\u304c\u308f\u304b\u3063\u305f\u3089\u3001A&#8217; \u306e\u30e9\u30f3\u30af\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002\u6700\u521d\u306e 3 \u5217\u306e\u884c\u5217\u5f0f\u304c 0 \u3092\u4e0e\u3048\u308b\u3053\u3068\u306f\u3059\u3067\u306b\u308f\u304b\u3063\u3066\u3044\u308b\u306e\u3067\u3001\u4ed6\u306e\u53ef\u80fd\u306a 3\u00d73 \u884c\u5217\u5f0f\u3092\u8a66\u3057\u307e\u3059\u3002<\/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-39fc49c7a63920c8956703a4851ecfc0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} -1 &amp; 1 &amp; 0 \\\\[1.1ex] 1 &amp; -3 &amp; 0 \\\\[1.1ex]  -2 &amp; 4 &amp; 0 \\end{vmatrix} = 0 \\quad \\begin{vmatrix}4 &amp; 1 &amp; 0 \\\\[1.1ex] 1 &amp;  -3 &amp; 0 \\\\[1.1ex] 3 &amp;  4 &amp; 0  \\end{vmatrix} = 0 \\quad \\begin{vmatrix}4 &amp; -1 &amp;  0 \\\\[1.1ex] 1 &amp; 1 &amp; 0 \\\\[1.1ex] 3 &amp; -2 &amp;  0\\end{vmatrix} = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"404\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u884c\u5217 A&#8217; \u306e 3\u00d73 \u884c\u5217\u5f0f\u306f\u3059\u3079\u3066 0 \u3067\u3042\u308b\u305f\u3081\u3001\u884c\u5217 A&#8217; \u3082\u30e9\u30f3\u30af 3 \u306b\u306f\u306a\u308a\u307e\u305b\u3093\u3002\u305f\u3060\u3057\u3001\u5185\u90e8\u306b\u306f 0 \u3068\u306f\u7570\u306a\u308b\u6b21\u6570 2 \u306e\u884c\u5217\u5f0f\u304c\u542b\u307e\u308c\u3066\u3044\u307e\u3059\u3002\u4f8b:<\/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-a62d150aef4ec798814d25c988b0afd7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle   \\begin{vmatrix}4 &amp; -1 \\\\[1.1ex] 1 &amp; 1 \\end{vmatrix} =4-(-1)=5 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"213\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001\u884c\u5217 A&#8217; \u306f\u30e9\u30f3\u30af 2 \u306b\u306a\u308a\u307e\u3059\u3002<\/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-80398cfd2fff647f81c0d4160f3b2f7e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  rg(A')=2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"81\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u884c\u5217 A \u306e\u7bc4\u56f2\u306f\u884c\u5217 A&#8217; \u306e\u7bc4\u56f2\u306b\u7b49\u3057\u3044\u3067\u3059\u304c\u3001\u3053\u308c\u3089 2 \u3064\u306f\u7cfb (3) \u306e\u672a\u77e5\u6570\u306e\u6570\u3088\u308a\u5c0f\u3055\u3044\u305f\u3081\u3001\u30eb\u30fc\u30b7\u30a7-\u30d5\u30ed\u30d9\u30cb\u30a6\u30b9\u306e\u5b9a\u7406\u306b\u3088\u308c\u3070\u3001c \u306f\u4e0d\u5b9a\u4e92\u63db\u7cfb (ICS) \u3067\u3059\u3002<\/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-f43fdf4978386c61d18f9bb5b5883881_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{array}{c} \\begin{array}{c} \\color{black}rg(A) = 2 \\\\[1.3ex] \\color{black}rg(A')=2 \\\\[1.3ex] \\color{black}\\text{N\\'umero de inc\\'ognitas} = 3 \\end{array}} \\\\ \\\\ \\color{blue} \\boxed{ \\color{black}\\phantom{^9_9} rg(A) = rg(A') = 2 \\ < \\ n =3 \\color{blue} \\ \\bm{\\longrightarrow} \\ \\color{black} \\bm{SCI}\\phantom{^9_9}} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"138\" width=\"475\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3053\u308c\u306f ICS \u30b7\u30b9\u30c6\u30e0\u306a\u306e\u3067\u3001\u305d\u308c\u3092\u89e3\u6c7a\u3059\u308b\u306b\u306f\u30b7\u30b9\u30c6\u30e0\u3092\u5909\u63db\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u307e\u305a\u30011 \u3064\u306e\u65b9\u7a0b\u5f0f\u3092\u524a\u9664\u3057\u307e\u3059\u3002\u3053\u306e\u5834\u5408\u3001\u305d\u308c\u304c\u6700\u5f8c\u306e\u65b9\u7a0b\u5f0f\u306b\u306a\u308a\u307e\u3059\u3002<\/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-4d5499fda37d3cbf56fbf6ecbfc6bfba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases} 4x-y+z= 0 \\\\[1.5ex] x+y-3z=0 \\\\[1.5ex] \\cancel{3x-2y+4z = 0} \\end{cases} \\longrightarrow \\quad \\begin{cases} 4x-y+z= 0 \\\\[1.5ex] x+y-3z=0\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"349\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6b21\u306b\u3001\u5909\u6570 z \u3092 \u03bb \u306b\u5909\u63db\u3057\u307e\u3057\u3087\u3046\u3002<\/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-96ea68274b072531365282e01d926718_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases}4x-y+z= 0 \\\\[1.5ex] x+y-3z=0 \\end{cases} \\xrightarrow{z \\ = \\ \\lambda}\\quad \\begin{cases} 4x-y+\\lambda= 0 \\\\[1.5ex] x+y-3\\lambda=0\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"353\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u305d\u3057\u3066\u3001\u03bb \u3092\u542b\u3080\u9805\u3092\u72ec\u7acb\u3057\u305f\u9805\u306b\u7f6e\u304d\u307e\u3059\u3002<\/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-6192715e62cc8e3d3fe4c51da8629c70_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases} 4x-y=-\\lambda \\\\[1.5ex] x+y=3\\lambda \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"110\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u30b7\u30b9\u30c6\u30e0\u306e\u884c\u5217 A \u3068\u884c\u5217 A&#8217; \u306f\u305d\u306e\u307e\u307e\u6b8b\u308a\u307e\u3059\u3002 <\/p>\n<p class=\"has-text-align-center\">\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-99a91208ff1742f81e799aa5ab7f9097_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} 4 &amp; -1 \\\\[1.1ex] 1 &amp; 1 \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{cc|c} 4 &amp; -1 &amp; -\\lambda \\\\[1.1ex] 1 &amp; 1 &amp; 3\\lambda \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"337\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6700\u5f8c\u306b\u3001\u30b7\u30b9\u30c6\u30e0\u3092\u5909\u63db\u3057\u305f\u3089\u3001\u30af\u30e9\u30de\u30fc\u306e\u6cd5\u5247\u3092\u9069\u7528\u3057\u307e\u3059\u3002\u3053\u308c\u3092\u884c\u3046\u306b\u306f\u3001\u307e\u305a A \u306e\u884c\u5217\u5f0f\u3092\u89e3\u304d\u307e\u3059\u3002<\/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-34832b783ddaf4af205302240d0feafb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix} 4 &amp; -1 \\\\[1.1ex] 1 &amp; 1 \\end{vmatrix} = 4-(-1)=5\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"228\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Cramer \u306e\u898f\u5247\u3092\u4f7f\u7528\u3057\u3066 x \u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u3001A \u306e\u884c\u5217\u5f0f\u306e\u6700\u521d\u306e\u5217\u3092\u72ec\u7acb\u9805\u306e\u5217\u306b\u5909\u66f4\u3057\u3001\u305d\u308c\u3092 A \u306e\u884c\u5217\u5f0f\u3067\u5272\u308a\u307e\u3059\u3002<\/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-362167d2eaa02d7243dedd5c385d08b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x} = \\cfrac{\\begin{vmatrix}-\\lambda &amp; -1 \\\\[1.1ex] 3\\lambda &amp; 1 \\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{-\\lambda-(-3\\lambda)}{5} =\\cfrac{\\bm{2\\lambda}}{\\bm{5}}\" title=\"Rendered by QuickLaTeX.com\" height=\"81\" width=\"285\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u672a\u77e5\u6570\u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u3001\u30af\u30e9\u30de\u30fc\u306e\u6cd5\u5247\u3092\u4f7f\u7528\u3057\u3066\u3001A \u306e\u884c\u5217\u5f0f\u306e 2 \u756a\u76ee\u306e\u5217\u3092\u72ec\u7acb\u9805\u306e\u5217\u3067\u5909\u66f4\u3057\u3001\u305d\u308c\u3092 A \u306e\u884c\u5217\u5f0f\u3067\u5272\u308a\u307e\u3059\u3002<\/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-ede5a3a87ac0bb9ceea4232ec7b381fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{y} = \\cfrac{\\begin{vmatrix} 4 &amp; -\\lambda \\\\[1.1ex] 1 &amp; 3\\lambda \\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{12\\lambda-(-\\lambda)}{5}=\\cfrac{\\bm{13\\lambda}}{\\bm{5}}\" title=\"Rendered by QuickLaTeX.com\" height=\"81\" width=\"267\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001m=-4 \u306e\u5834\u5408\u3001\u9023\u7acb\u65b9\u7a0b\u5f0f\u306e\u89e3\u306f \u03bb \u306e\u95a2\u6570\u306b\u306a\u308a\u307e\u3059\u3002\u3053\u308c\u306f SCI \u3067\u3042\u308b\u305f\u3081\u3001\u7121\u9650\u306e\u89e3\u304c\u5b58\u5728\u3057\u307e\u3059\u3002 <\/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-316aed1af52eba51058c3c753717c1af_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x =}\\cfrac{\\bm{2\\lambda}}{\\bm{5}}\\qquad \\bm{y=}\\cfrac{\\bm{13\\lambda}}{\\bm{5}} \\qquad \\bm{z=\\lambda}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"222\" style=\"vertical-align: -12px;\"><\/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-119\"><\/div>\n<\/div>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 2<\/h3>\n<p>\u6b21\u306e\u30d1\u30e9\u30e1\u30fc\u30bf\u4f9d\u5b58\u4e00\u6b21\u65b9\u7a0b\u5f0f\u7cfb\u306b\u3064\u3044\u3066\u8b70\u8ad6\u3057\u3001\u89e3\u3092\u898b\u3064\u3051\u3066\u304f\u3060\u3055\u3044\u3002 <\/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-etape-par-etape-d-un-systeme-d-equations-lineaires-avec-parametres.webp\" alt=\"\u30d1\u30e9\u30e1\u30fc\u30bf\u3092\u4f7f\u7528\u3057\u305f\u7dda\u5f62\u65b9\u7a0b\u5f0f\u7cfb\u3092\u30b9\u30c6\u30c3\u30d7\u30d0\u30a4\u30b9\u30c6\u30c3\u30d7\u3067\u89e3\u304f\u6f14\u7fd2\" class=\"wp-image-4020\" width=\"187\" height=\"122\" 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>\u89e3\u6c7a\u7b56\u3092\u53c2\u7167<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u6700\u521d\u306b\u884c\u3046\u3053\u3068\u306f\u3001\u30b7\u30b9\u30c6\u30e0\u306e\u884c\u5217 A \u3068\u62e1\u5f35\u884c\u5217 A&#8217; \u3067\u3059\u3002<\/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-e924dd1b3fe5c0da561b92da9bf5da3b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} m &amp; 2 &amp; 1 \\\\[1.1ex] 2 &amp; 4 &amp; 2 \\\\[1.1ex] 1 &amp; -2 &amp; m\\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c}m &amp; 2 &amp; 1 &amp; 2 \\\\[1.1ex] 2 &amp; 4 &amp; 2 &amp; 0 \\\\[1.1ex] 1 &amp; -2 &amp; m &amp; 3\\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"404\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6b21\u306b\u3001\u884c\u5217 A \u306e\u30e9\u30f3\u30af\u3092\u898b\u3064\u3051\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u308c\u3092\u884c\u3046\u306b\u306f\u3001\u884c\u5217\u5168\u4f53\u306e\u884c\u5217\u5f0f\u304c 0 \u3068\u7570\u306a\u308b\u304b\u3069\u3046\u304b\u3092\u78ba\u8a8d\u3057\u307e\u3059\u3002<\/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-5d0f8dbb7408ac6521e0144ac2f3a8a3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{aligned}\\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix}m &amp; 2 &amp; 1 \\\\[1.1ex] 2 &amp; 4 &amp; 2 \\\\[1.1ex] 1 &amp; -2 &amp; m\\end{vmatrix} &amp; =4m^2+4-4-4+4m-4m \\\\ &amp; =4m^2-4 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"384\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> A \u306e\u884c\u5217\u5f0f\u306e\u7d50\u679c\u306f\u3001m \u306e\u5024\u306b\u4f9d\u5b58\u3057\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001m \u306e\u3069\u306e\u5024\u306b\u3064\u3044\u3066\u884c\u5217\u5f0f\u304c\u6d88\u3048\u308b\u304b\u3092\u898b\u3066\u307f\u307e\u3057\u3087\u3046\u3002\u3053\u308c\u3092\u884c\u3046\u306b\u306f\u3001\u7d50\u679c\u306e\u7d50\u679c\u3092 0 \u306b\u7b49\u3057\u304f\u3057\u3066\u3001\u65b9\u7a0b\u5f0f\u3092\u89e3\u304d\u307e\u3059\u3002 <\/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-059d7760bb8cee65e13e43a97e156e1a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4m^2-4 = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"95\" 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-1aae0b3268b7d9e348b8eb80ce957ce8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4m^2=4\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"65\" 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-1f31504086ef5ec070b337db57ad444f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m^2 = \\cfrac{4}{4}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"58\" style=\"vertical-align: -12px;\"><\/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-baf4ba1311e2f2ce47aecfb90a411b64_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m^2 = 1\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"55\" 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-c8dda3f9896a1a4dece5059a485cdcfb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m = \\pm 1\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"61\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001m \u304c +1 \u307e\u305f\u306f -1 \u306e\u5834\u5408\u3001A \u306e\u884c\u5217\u5f0f\u306f 0 \u306b\u306a\u308a\u307e\u3059\u3002\u307e\u305f\u3001m \u304c +1 \u304a\u3088\u3073 -1 \u3068\u7570\u306a\u308b\u5834\u5408\u3001A \u306e\u884c\u5217\u5f0f\u306f 0 \u3068\u306f\u7570\u306a\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u5404\u30b1\u30fc\u30b9\u3092\u6b21\u306e\u3088\u3046\u306b\u5206\u6790\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-left\" style=\"font-size:26px\"> <span style=\"color:#1976d2;\"><strong>m\u2260+1 \u304a\u3088\u3073 m\u2260-1:<\/strong><\/span><\/p>\n<p class=\"has-text-align-left\">\u5148\u307b\u3069\u898b\u305f\u3088\u3046\u306b\u3001\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc m \u304c +1 \u304a\u3088\u3073 -1 \u3068\u7570\u306a\u308b\u5834\u5408\u3001\u884c\u5217 A \u306e\u884c\u5217\u5f0f\u306f 0 \u3068\u306f\u7570\u306a\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001A \u306e\u30e9\u30f3\u30af\u306f 3 \u306b\u306a\u308a\u307e\u3059\u3002<\/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-842ae3b68df41813d9e409968f3ae946_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  rg(A)=3\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"77\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3055\u3089\u306b\u3001\u884c\u5217 A&#8217; \u306e\u968e\u6570\u3082 3 \u3067\u3059\u3002\u305d\u306e\u4e2d\u306b\u306f\u884c\u5217\u5f0f\u304c 0 \u3068\u306f\u7570\u306a\u308b 3\u00d73 \u90e8\u5206\u884c\u5217\u304c\u3042\u308b\u305f\u3081\u3067\u3059\u3002\u307e\u305f\u3001\u300c4\u00d74 \u884c\u5217\u5f0f\u3092\u4f5c\u308b\u3053\u3068\u306f\u3067\u304d\u306a\u3044\u300d\u305f\u3081\u3001\u968e\u6570 4 \u306b\u306a\u308b\u3053\u3068\u306f\u3042\u308a\u5f97\u307e\u305b\u3093\u3002<\/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-150bbc9c8e363db471c2d5bc4f33e1fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  rg(A')=3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"82\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001<strong>\u30eb\u30fc\u30b7\u30a7-\u30d5\u30ed\u30d9\u30cb\u30a6\u30b9\u306e\u5b9a\u7406\u3092\u9069\u7528\u3059\u308b\u3068\u3001<\/strong> A \u306e\u7bc4\u56f2\u304c A&#8217; \u306e\u7bc4\u56f2\u304a\u3088\u3073\u672a\u77e5\u6570\u306e\u6570\u306b\u7b49\u3057\u3044\u305f\u3081\u3001\u3053\u308c\u304c<strong>\u4e92\u63db\u6027\u306e\u3042\u308b\u6c7a\u5b9a\u7cfb<\/strong>(SCD) \u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/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-31b495a48a75d7af1f23e38818bf4eca_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{array}{c} \\begin{array}{c} \\color{black}rg(A) = 3 \\\\[1.3ex] \\color{black}rg(A')=3 \\\\[1.3ex] \\color{black}\\text{N\\'umero de inc\\'ognitas} = 3 \\end{array}} \\\\ \\\\ \\color{blue} \\boxed{ \\color{black}\\phantom{^9_9} rg(A) = rg(A') = n = 3 \\color{blue} \\ \\bm{\\longrightarrow} \\ \\color{black} \\bm{SCD}\\phantom{^9_9}} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"138\" width=\"436\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u30b7\u30b9\u30c6\u30e0\u304c SCD \u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u3063\u305f\u3089\u3001\u305d\u308c\u3092\u89e3\u6c7a\u3059\u308b\u305f\u3081\u306b Cramer \u306e\u6cd5\u5247\u3092\u9069\u7528\u3057\u307e\u3059\u3002\u3053\u308c\u3092\u884c\u3046\u306b\u306f\u3001\u884c\u5217 A\u3001\u305d\u306e\u884c\u5217\u5f0f\u3001\u304a\u3088\u3073\u884c\u5217 A&#8217; \u304c\u6b21\u306e\u3068\u304a\u308a\u3067\u3042\u308b\u3053\u3068\u3092\u601d\u3044\u51fa\u3057\u3066\u304f\u3060\u3055\u3044\u3002 <\/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-e924dd1b3fe5c0da561b92da9bf5da3b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} m &amp; 2 &amp; 1 \\\\[1.1ex] 2 &amp; 4 &amp; 2 \\\\[1.1ex] 1 &amp; -2 &amp; m\\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c}m &amp; 2 &amp; 1 &amp; 2 \\\\[1.1ex] 2 &amp; 4 &amp; 2 &amp; 0 \\\\[1.1ex] 1 &amp; -2 &amp; m &amp; 3\\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"404\" 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-b5114be5e37d2c91f02f22fba22edc42_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix}m &amp; 2 &amp; 1 \\\\[1.1ex] 2 &amp; 4 &amp; 2 \\\\[1.1ex] 1 &amp; -2 &amp; m\\end{vmatrix}=4m^2-4\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"231\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Cramer \u306e\u898f\u5247\u3092\u4f7f\u7528\u3057\u3066 x \u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u3001A \u306e\u884c\u5217\u5f0f\u306e\u6700\u521d\u306e\u5217\u3092\u72ec\u7acb\u9805\u306e\u5217\u306b\u5909\u66f4\u3057\u3001\u305d\u308c\u3092 A \u306e\u884c\u5217\u5f0f\u3067\u5272\u308a\u307e\u3059\u3002<\/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-4b7402e02ee62bd78a6f880d3d122119_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x} = \\cfrac{\\begin{vmatrix} 2&amp; 2 &amp; 1 \\\\[1.1ex] 0 &amp; 4 &amp; 2 \\\\[1.1ex] 3 &amp; -2 &amp; m\\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{\\bm{8m+8}}{\\bm{4m^2-4}}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"218\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u672a\u77e5\u6570\u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u3001\u30af\u30e9\u30de\u30fc\u306e\u6cd5\u5247\u3092\u4f7f\u7528\u3057\u3066\u3001A \u306e\u884c\u5217\u5f0f\u306e 2 \u756a\u76ee\u306e\u5217\u3092\u72ec\u7acb\u9805\u306e\u5217\u3067\u5909\u66f4\u3057\u3001\u305d\u308c\u3092 A \u306e\u884c\u5217\u5f0f\u3067\u5272\u308a\u307e\u3059\u3002<\/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-551c66a9530d0195a9a4ff64d42350c4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{y} = \\cfrac{\\begin{vmatrix} m &amp; 2 &amp; 1 \\\\[1.1ex] 2 &amp; 0 &amp; 2 \\\\[1.1ex] 1 &amp; 3 &amp; m\\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{\\bm{-10m+10}}{\\bm{4m^2-4}}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"235\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Cramer \u306e\u898f\u5247\u3092\u4f7f\u7528\u3057\u3066 z \u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u3001A \u306e\u884c\u5217\u5f0f\u306e 3 \u756a\u76ee\u306e\u5217\u3092\u72ec\u7acb\u9805\u306e\u5217\u306b\u5909\u66f4\u3057\u3001\u305d\u308c\u3092 A \u306e\u884c\u5217\u5f0f\u3067\u5272\u308a\u307e\u3059\u3002<\/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-28375ce522b7644a745a9adea4c78ae7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{z} = \\cfrac{\\begin{vmatrix}m &amp; 2 &amp; 2 \\\\[1.1ex] 2 &amp; 4 &amp; 0 \\\\[1.1ex] 1 &amp; -2 &amp; 3 \\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{\\bm{12m-28}}{\\bm{4m^2-4}}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"227\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001m\u2260+1 \u304a\u3088\u3073 m\u2260-1 \u306e\u5834\u5408\u306e\u9023\u7acb\u65b9\u7a0b\u5f0f\u306e\u89e3\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/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-59ecb2f1448989cd1c41af45e7bc4a32_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x = }\\cfrac{\\bm{8m+8}}{\\bm{4m^2-4}} \\qquad \\bm{y=}\\cfrac{\\bm{-10m+10}}{\\bm{4m^2-4}}\\qquad \\bm{z =} \\cfrac{\\bm{12m-28}}{\\bm{4m^2-4}}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"383\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\"font-size:26px\"> <span style=\"color:#1976d2;\"><strong>m=+1:<\/strong><\/span><\/p>\n<p class=\"has-text-align-left\">\u3053\u3053\u3067\u3001\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc m \u304c 1 \u306b\u7b49\u3057\u3044\u5834\u5408\u306e\u30b7\u30b9\u30c6\u30e0\u3092\u5206\u6790\u3057\u307e\u3059\u3002\u3053\u306e\u5834\u5408\u3001\u884c\u5217 A \u3068 A&#8217; \u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/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-f6af272a99ed7c281ee8dd9199698686_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} 1 &amp; 2 &amp; 1 \\\\[1.1ex] 2 &amp; 4 &amp; 2 \\\\[1.1ex] 1 &amp; -2 &amp; 1 \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c}1 &amp; 2 &amp; 1 &amp; 2 \\\\[1.1ex] 2 &amp; 4 &amp; 2 &amp; 0 \\\\[1.1ex] 1 &amp; -2 &amp; 1 &amp; 3\\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"377\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u524d\u306b\u898b\u305f\u3088\u3046\u306b\u3001m=+1 \u306e\u5834\u5408\u3001A \u306e\u884c\u5217\u5f0f\u306f 0 \u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u884c\u5217 A \u306f\u30e9\u30f3\u30af 3 \u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u3057\u304b\u3057\u3001\u305d\u306e\u5185\u90e8\u306b\u306f 0 \u3068\u306f\u7570\u306a\u308b 2\u00d72 \u884c\u5217\u5f0f\u304c\u3042\u308a\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/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-ebedf6c9e4316844dc99ceca9472fac5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle   \\begin{vmatrix}2 &amp; 4\\\\[1.1ex] 1 &amp; -2 \\end{vmatrix} =-4-4=-8 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"213\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u884c\u5217\u306b\u306f 0 \u3068\u306f\u7570\u306a\u308b\u6b21\u6570 2 \u306e\u884c\u5217\u5f0f\u304c\u3042\u308b\u305f\u3081\u3001\u884c\u5217 A \u306f\u30e9\u30f3\u30af 2 \u306b\u306a\u308a\u307e\u3059\u3002<\/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-eded270b78ab3d95ce827e3ea428efb1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  rg(A)=2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"76\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> A \u306e\u30e9\u30f3\u30af\u304c\u308f\u304b\u3063\u305f\u3089\u3001A&#8217; \u306e\u30e9\u30f3\u30af\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002\u6700\u521d\u306e 3 \u5217\u306e\u884c\u5217\u5f0f\u304c 0 \u306b\u306a\u308b\u3053\u3068\u306f\u3059\u3067\u306b\u308f\u304b\u3063\u3066\u3044\u308b\u306e\u3067\u3001\u305f\u3068\u3048\u3070\u6700\u5f8c\u306e 3 \u5217\u306e\u884c\u5217\u5f0f\u3092\u8a66\u3057\u3066\u307f\u307e\u3059\u3002<\/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-4d0109b155be9f87a0cee337ddec5517_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} 2 &amp; 1 &amp; 2 \\\\[1.1ex] 4 &amp; 2 &amp; 0 \\\\[1.1ex]  -2 &amp; 1 &amp; 3 \\end{vmatrix} = 16\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"124\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u4e00\u65b9\u3001\u884c\u5217 A&#8217; \u306b\u306f\u3001\u7d50\u679c\u304c 0 \u3068\u306f\u7570\u306a\u308b 3\u00d73 \u884c\u5217\u5f0f\u304c\u542b\u307e\u308c\u3066\u3044\u308b\u305f\u3081\u3001\u884c\u5217 A&#8217; \u306e\u30e9\u30f3\u30af\u306f 3 \u306b\u306a\u308a\u307e\u3059\u3002<\/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-150bbc9c8e363db471c2d5bc4f33e1fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  rg(A')=3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"82\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001m=+1 \u306e\u5834\u5408\u3001\u884c\u5217 A \u306e\u30e9\u30f3\u30af\u306f\u884c\u5217 A&#8217; \u306e\u30e9\u30f3\u30af\u3088\u308a\u3082\u5c0f\u3055\u304f\u306a\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u30eb\u30fc\u30b7\u30a7-\u30d5\u30ed\u30d9\u30cb\u30a6\u30b9\u306e\u5b9a\u7406\u304b\u3089\u3001\u30b7\u30b9\u30c6\u30e0\u306f\u4e92\u63db\u6027\u306e\u306a\u3044\u30b7\u30b9\u30c6\u30e0 (IS) \u3067\u3042\u308b\u3068\u63a8\u5b9a\u3055\u308c\u307e\u3059\u3002<\/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-b2bb3fec88cf5c6d788afb4480ab1f58_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{array}{c} \\begin{array}{c} \\color{black}rg(A) = 2 \\\\[1.3ex] \\color{black}rg(A')=3 \\\\[1.3ex] \\color{black}\\text{N\\'umero de inc\\'ognitas} = 3 \\end{array}} \\\\ \\\\ \\color{blue} \\boxed{ \\color{black}\\phantom{^9_9} rg(A) = 2 \\ \\neq \\ rg(A') = 3 \\color{blue} \\ \\bm{\\longrightarrow} \\ \\color{black} \\bm{SI}\\phantom{^9_9}} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"138\" width=\"426\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001 <strong>m=+1 \u306e\u5834\u5408\u3001\u9023\u7acb\u65b9\u7a0b\u5f0f\u306f\u4e92\u63db\u6027\u306e\u306a\u3044\u7cfb\u3067\u3042\u308b\u305f\u3081\u3001\u89e3\u304c\u3042\u308a\u307e\u305b\u3093<\/strong>\u3002<\/p>\n<p class=\"has-text-align-left\" style=\"font-size:26px\"> <span style=\"color:#1976d2;\"><strong>m=-1:<\/strong><\/span><\/p>\n<p class=\"has-text-align-left\">\u6b21\u306b\u3001\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc m \u304c -1 \u306e\u5834\u5408\u306e\u30b7\u30b9\u30c6\u30e0\u3092\u5206\u6790\u3057\u307e\u3059\u3002\u3053\u306e\u5834\u5408\u3001\u884c\u5217 A \u3068 A&#8217; \u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/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-46b0a00ef38d0e5a433b418de7eb1ec3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} -1 &amp; 2 &amp; 1 \\\\[1.1ex] 2 &amp; 4 &amp; 2 \\\\[1.1ex] 1 &amp; -2 &amp; -1 \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c}-1 &amp; 2 &amp; 1 &amp; 2 \\\\[1.1ex] 2 &amp; 4 &amp; 2 &amp; 0 \\\\[1.1ex] 1 &amp; -2 &amp; -1 &amp; 3\\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"432\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u524d\u306b\u898b\u305f\u3088\u3046\u306b\u3001m=-1 \u306e\u5834\u5408\u3001A \u306e\u884c\u5217\u5f0f\u306f 0 \u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u884c\u5217 A \u306f\u30e9\u30f3\u30af 3 \u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u3057\u304b\u3057\u3001\u305d\u306e\u5185\u90e8\u306b\u306f 0 \u3068\u306f\u7570\u306a\u308b 2\u00d72 \u306e\u884c\u5217\u5f0f\u304c\u3042\u308a\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/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-ff5373c7e7901f253421efbbd52d192e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle   \\begin{vmatrix}-1 &amp; 2\\\\[1.1ex] 2 &amp; 4 \\end{vmatrix} =-4-4=-8 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"213\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u884c\u5217\u306b\u306f 0 \u3068\u306f\u7570\u306a\u308b\u6b21\u6570 2 \u306e\u884c\u5217\u5f0f\u304c\u3042\u308b\u305f\u3081\u3001\u884c\u5217 A \u306f\u30e9\u30f3\u30af 2 \u306b\u306a\u308a\u307e\u3059\u3002<\/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-eded270b78ab3d95ce827e3ea428efb1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  rg(A)=2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"76\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> A \u306e\u30e9\u30f3\u30af\u304c\u308f\u304b\u3063\u305f\u3089\u3001A&#8217; \u306e\u30e9\u30f3\u30af\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002\u6700\u521d\u306e 3 \u5217\u306e\u884c\u5217\u5f0f\u304c 0 \u306b\u306a\u308b\u3053\u3068\u306f\u3059\u3067\u306b\u308f\u304b\u3063\u3066\u3044\u308b\u306e\u3067\u3001\u305f\u3068\u3048\u3070\u5217 1\u30013\u3001\u304a\u3088\u3073 4 \u306e\u884c\u5217\u5f0f\u3092\u8a66\u3057\u3066\u307f\u307e\u3059\u3002<\/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-a95e30910bd64db920f3c2bcb5f2ff62_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} -1 &amp; 1 &amp; 2 \\\\[1.1ex] 2 &amp; 2 &amp; 0 \\\\[1.1ex] 1 &amp;  -1 &amp; 3\\end{vmatrix} = -20\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"152\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u4e00\u65b9\u3001\u884c\u5217 A&#8217; \u306b\u306f\u3001\u7d50\u679c\u304c 0 \u3068\u306f\u7570\u306a\u308b 3\u00d73 \u884c\u5217\u5f0f\u304c\u542b\u307e\u308c\u3066\u3044\u308b\u305f\u3081\u3001\u884c\u5217 A&#8217; \u306e\u30e9\u30f3\u30af\u306f 3 \u306b\u306a\u308a\u307e\u3059\u3002<\/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-150bbc9c8e363db471c2d5bc4f33e1fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  rg(A')=3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"82\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001m = -1 \u306e\u5834\u5408\u3001\u884c\u5217 A \u306e\u30e9\u30f3\u30af\u306f\u884c\u5217 A&#8217; \u306e\u30e9\u30f3\u30af\u3088\u308a\u3082\u4f4e\u304f\u306a\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u30eb\u30fc\u30b7\u30a7-\u30d5\u30ed\u30d9\u30cb\u30a6\u30b9\u306e\u5b9a\u7406\u304b\u3089\u3001\u30b7\u30b9\u30c6\u30e0\u306f\u4e92\u63db\u6027\u306e\u306a\u3044\u30b7\u30b9\u30c6\u30e0 (IS) \u3067\u3042\u308b\u3068\u63a8\u5b9a\u3055\u308c\u307e\u3059\u3002<\/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-b2bb3fec88cf5c6d788afb4480ab1f58_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{array}{c} \\begin{array}{c} \\color{black}rg(A) = 2 \\\\[1.3ex] \\color{black}rg(A')=3 \\\\[1.3ex] \\color{black}\\text{N\\'umero de inc\\'ognitas} = 3 \\end{array}} \\\\ \\\\ \\color{blue} \\boxed{ \\color{black}\\phantom{^9_9} rg(A) = 2 \\ \\neq \\ rg(A') = 3 \\color{blue} \\ \\bm{\\longrightarrow} \\ \\color{black} \\bm{SI}\\phantom{^9_9}} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"138\" width=\"426\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001 <strong>m=-1 \u306e\u5834\u5408\u3001\u9023\u7acb\u65b9\u7a0b\u5f0f\u306f\u4e92\u63db\u6027\u306e\u306a\u3044\u7cfb\u3067\u3042\u308b\u305f\u3081\u3001\u89e3\u304c\u3042\u308a\u307e\u305b\u3093<\/strong>\u3002<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u3053\u306e\u30da\u30fc\u30b8\u3067\u306f\u3001\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc\u3092\u4f7f\u7528\u3057\u3066\u9023\u7acb\u65b9\u7a0b\u5f0f\u3092\u8b70\u8ad6\u3057\u89e3\u304f\u65b9\u6cd5\u3092\u8aac\u660e\u3057\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u9023\u7acb\u4e00\u6b21\u65b9\u7a0b\u5f0f\u306e\u4f8b\u3068\u89e3\u7b54\u6e08\u307f\u306e\u7df4\u7fd2\u554f\u984c\u3082\u898b\u3064\u304b\u308a\u307e\u3059\u3002 \u4e00\u65b9\u3001\u9023\u7acb\u4e00\u6b21\u65b9\u7a0b\u5f0f\u3092\u89e3\u6790\u3059\u308b\u306b\u306f\u3001\u30af\u30e9\u30de\u30fc\u5247\u3068\u306f\u4f55\u304b\u3001 \u30eb\u30fc\u30b7\u30a7\u30fb\u30d5\u30ed\u30d9\u30cb\u30a6 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ja\/%e3%83%91%e3%83%a9%e3%83%a1%e3%83%bc%e3%82%bf%e3%82%92%e4%bd%bf%e7%94%a8%e3%81%97%e3%81%9f%e9%80%a3%e7%ab%8b%e6%96%b9%e7%a8%8b%e5%bc%8f%e3%81%ae%e8%ad%b0%e8%ab%96\/\"> <span class=\"screen-reader-text\">\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc\u3092\u4f7f\u7528\u3057\u305f\u9023\u7acb\u65b9\u7a0b\u5f0f\u306e\u8b70\u8ad6<\/span> \u3082\u3063\u3068\u8aad\u3080 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