{"id":330,"date":"2023-07-06T06:35:36","date_gmt":"2023-07-06T06:35:36","guid":{"rendered":"https:\/\/mathority.org\/ja\/%e5%9b%ba%e6%9c%89%e5%80%a4%e3%82%92%e8%a8%88%e7%ae%97%e3%81%99%e3%82%8b-%e8%a1%8c%e5%88%97%e3%81%ae%e5%9b%ba%e6%9c%89%e5%80%a4%e3%81%a8%e5%9b%ba%e6%9c%89%e3%83%99%e3%82%af%e3%83%88%e3%83%ab-%e5%9b%ba\/"},"modified":"2023-07-06T06:35:36","modified_gmt":"2023-07-06T06:35:36","slug":"%e5%9b%ba%e6%9c%89%e5%80%a4%e3%82%92%e8%a8%88%e7%ae%97%e3%81%99%e3%82%8b-%e8%a1%8c%e5%88%97%e3%81%ae%e5%9b%ba%e6%9c%89%e5%80%a4%e3%81%a8%e5%9b%ba%e6%9c%89%e3%83%99%e3%82%af%e3%83%88%e3%83%ab-%e5%9b%ba","status":"publish","type":"post","link":"https:\/\/mathority.org\/ja\/%e5%9b%ba%e6%9c%89%e5%80%a4%e3%82%92%e8%a8%88%e7%ae%97%e3%81%99%e3%82%8b-%e8%a1%8c%e5%88%97%e3%81%ae%e5%9b%ba%e6%9c%89%e5%80%a4%e3%81%a8%e5%9b%ba%e6%9c%89%e3%83%99%e3%82%af%e3%83%88%e3%83%ab-%e5%9b%ba\/","title":{"rendered":"\u884c\u5217\u306e\u56fa\u6709\u5024 (\u307e\u305f\u306f\u56fa\u6709\u5024) \u3068\u56fa\u6709\u30d9\u30af\u30c8\u30eb (\u307e\u305f\u306f\u56fa\u6709\u30d9\u30af\u30c8\u30eb)"},"content":{"rendered":"<p>\u3053\u306e\u30da\u30fc\u30b8\u3067\u306f\u3001\u56fa\u6709\u5024\u3068\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u3068\u306f\u4f55\u304b\u3001\u305d\u308c\u305e\u308c\u56fa\u6709\u5024\u3068\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u3068\u3082\u547c\u3070\u308c\u308b\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u8a08\u7b97\u65b9\u6cd5\u306e\u4f8b\u3084\u3001\u6bb5\u968e\u7684\u306b\u89e3\u6c7a\u3055\u308c\u305f\u7df4\u7fd2\u554f\u984c\u3082\u63b2\u8f09\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n<h2 class=\"wp-block-heading\">\u56fa\u6709\u5024\u3068\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u3068\u306f\u4f55\u3067\u3059\u304b?<\/h2>\n<p>\u56fa\u6709\u5024\u3068\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u306e\u6982\u5ff5\u306f\u7406\u89e3\u3059\u308b\u306e\u304c\u96e3\u3057\u3044\u3067\u3059\u304c\u3001\u305d\u306e\u5b9a\u7fa9\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002 <\/p>\n<div style=\"background-color:#dff6ff;padding-top: 20px; padding-bottom: 0.5px; padding-right: 40px; padding-left: 30px\" class=\"has-background\">\n<p style=\"text-align:left\"><strong>\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u307e\u305f\u306f\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u306f<\/strong>\u3001\u7dda\u5f62\u30de\u30c3\u30d7\u306e\u975e\u30bc\u30ed \u30d9\u30af\u30c8\u30eb\u3067\u3042\u308a\u3001\u305d\u308c\u306b\u3088\u3063\u3066\u5909\u63db\u3055\u308c\u308b\u3068\u3001\u305d\u308c\u3089\u306e\u30b9\u30ab\u30e9\u30fc\u500d\u6570\u304c\u751f\u3058\u307e\u3059 (\u65b9\u5411\u306f\u5909\u308f\u308a\u307e\u305b\u3093)\u3002\u3053\u306e\u30b9\u30ab\u30e9\u30fc\u306f<strong>\u3001\u56fa\u6709\u5024\u307e\u305f\u306f\u56fa\u6709\u5024<\/strong>\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-710a5e2df8739c35c060f790f5592734_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Av = \\lambda v\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"65\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\"text-align:left\">\u91d1<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-25b206f25506e6d6f46be832f7119ffa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"13\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u306f\u7dda\u5f62\u30de\u30c3\u30d7\u306e\u884c\u5217\u3067\u3059\u3002<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ef71511c70f0e4b25cc6bd69f3bc20c2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"v\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u306f\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u3067\u3042\u308a\u3001<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2b5c45836864531b8e37025dabadd24a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lambda\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u81ea\u5206\u81ea\u8eab\u306e\u4fa1\u5024\u89b3\u3002<\/p>\n<\/div>\n<p>\u56fa\u6709\u5024\u306f\u7279\u6027\u5024\u3068\u3082\u547c\u3070\u308c\u307e\u3059\u3002\u305d\u3057\u3066\u3001\u30c9\u30a4\u30c4\u8a9e\u306e\u30eb\u30fc\u30c8\u300ceigen\u300d\u3092\u4f7f\u7528\u3057\u3066\u56fa\u6709\u5024\u3068\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u3092\u6307\u5b9a\u3059\u308b\u6570\u5b66\u8005\u3055\u3048\u3044\u307e\u3059\u3002<em>\u56fa\u6709\u5024<\/em>\u306b\u306f\u56fa\u6709\u5024\u3001<em>\u56fa\u6709\u30d9\u30af\u30c8\u30eb<\/em>\u306b\u306f\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u3067\u3059\u3002<\/p>\n<h2 class=\"wp-block-heading\">\u884c\u5217\u306e\u56fa\u6709\u5024 (\u307e\u305f\u306f\u56fa\u6709\u5024) \u3068\u56fa\u6709\u30d9\u30af\u30c8\u30eb (\u307e\u305f\u306f\u56fa\u6709\u30d9\u30af\u30c8\u30eb) \u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u3069\u3046\u3059\u308c\u3070\u3088\u3044\u3067\u3059\u304b?<\/h2>\n<p>\u884c\u5217\u306e\u56fa\u6709\u5024\u3068\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u3092\u898b\u3064\u3051\u308b\u306b\u306f\u3001\u6b21\u306e\u624b\u9806\u5168\u4f53\u306b\u5f93\u3046\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<ol style=\"color:#1976d2; font-weight: bold;>\n<li><span style=\" color:#262626;font-weight:=\"\" normal;\"=\"\">\n<li style=\"margin-bottom:18px\"><span style=\"color:#262626;font-weight: normal;\">\u884c\u5217\u306e\u7279\u6027\u65b9\u7a0b\u5f0f\u306f\u3001\u6b21\u306e\u884c\u5217\u5f0f\u3092\u89e3\u304f\u3053\u3068\u306b\u3088\u3063\u3066\u8a08\u7b97\u3055\u308c\u307e\u3059\u3002<\/span><\/li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d7224fcfc13d25429e22216a3d4124cb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{det}(A-\\lambda I)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"92\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<li style=\"margin-bottom:15px\"><span style=\"color:#262626;font-weight: normal;\">\u30b9\u30c6\u30c3\u30d7 1 \u3067\u53d6\u5f97\u3057\u305f\u7279\u6027\u591a\u9805\u5f0f\u306e\u6839\u3092\u6c42\u3081\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u6839\u306f\u884c\u5217\u306e\u56fa\u6709\u5024\u3067\u3059\u3002<\/span><\/li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fbe85bd9aff702c72a31d3889f035518_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{det}(A-\\lambda I)=0 \\ \\longrightarrow \\ \\lambda\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"186\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<li style=\"margin-bottom:15px\"><span style=\"color:#262626;font-weight: normal;\">\u5404\u56fa\u6709\u5024\u306e\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u304c\u8a08\u7b97\u3055\u308c\u307e\u3059\u3002\u3053\u308c\u3092\u884c\u3046\u306b\u306f\u3001\u6b21\u306e\u9023\u7acb\u65b9\u7a0b\u5f0f\u3092\u56fa\u6709\u5024\u3054\u3068\u306b\u89e3\u304d\u307e\u3059\u3002<\/span><\/li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-372f1009cb2b47f939cf9291f0f23885_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle (A-\\lambda I)v=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"109\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<\/ol>\n<p>\u3053\u308c\u306f\u884c\u5217\u306e\u56fa\u6709\u5024\u3068\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u3092\u898b\u3064\u3051\u308b\u65b9\u6cd5\u3067\u3059\u304c\u3001\u3053\u3053\u3067\u3044\u304f\u3064\u304b\u306e\u30d2\u30f3\u30c8\u3082\u63d0\u4f9b\u3057\u307e\u3059: \ud83d\ude09 <\/p>\n<div style=\"background-color:#fffde7;padding-top: 20px; padding-bottom: 0.5px; padding-right: 40px; padding-left: 30px\" class=\"has-background\">\n<p style=\"text-align:left\"><strong>\u30d2\u30f3\u30c8<\/strong>: \u56fa\u6709\u5024\u3068\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u306e\u30d7\u30ed\u30d1\u30c6\u30a3\u3092\u5229\u7528\u3057\u3066\u3001\u3088\u308a\u7c21\u5358\u306b\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/p>\n<p style=\"text-align:left\"> <strong><span style=\"color:#1976d2;\">\u2713<\/span><\/strong>\u884c\u5217\u306e\u30c8\u30ec\u30fc\u30b9 (\u4e3b\u5bfe\u89d2\u306e\u5408\u8a08) \u306f\u3001\u3059\u3079\u3066\u306e\u56fa\u6709\u5024\u306e\u5408\u8a08\u306b\u7b49\u3057\u304f\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-d4b8ae7f7f7a36be08403ae6ba8b3d32_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle tr(A)=\\sum_{i=1}^n \\lambda_i\" title=\"Rendered by QuickLaTeX.com\" height=\"49\" width=\"109\" style=\"vertical-align: -21px;\"><\/p>\n<\/p>\n<p style=\"text-align:left\"> <strong><span style=\"color:#1976d2;\">\u2713<\/span><\/strong>\u3059\u3079\u3066\u306e\u56fa\u6709\u5024\u306e\u7a4d\u306f\u884c\u5217\u306e\u884c\u5217\u5f0f\u306b\u7b49\u3057\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-7aa4b68759894e3f25d6475c3b6f71b4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle det(A)=\\prod_{i=1}^n \\lambda_i\" title=\"Rendered by QuickLaTeX.com\" height=\"49\" width=\"115\" style=\"vertical-align: -21px;\"><\/p>\n<\/p>\n<p style=\"text-align:left\"> <strong><span style=\"color:#1976d2;\">\u2713<\/span><\/strong>\u884c\u307e\u305f\u306f\u5217\u9593\u306b\u7dda\u5f62\u7d50\u5408\u304c\u3042\u308b\u5834\u5408\u3001\u884c\u5217\u306e\u5c11\u306a\u304f\u3068\u3082 1 \u3064\u306e\u56fa\u6709\u5024\u304c 0 \u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002<\/p>\n<\/div>\n<p>\u3053\u306e\u65b9\u6cd5\u3092\u3088\u308a\u3088\u304f\u7406\u89e3\u3059\u308b\u305f\u3081\u306b\u3001\u884c\u5217\u306e\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u3068\u56fa\u6709\u5024\u304c\u3069\u306e\u3088\u3046\u306b\u8a08\u7b97\u3055\u308c\u308b\u304b\u306e\u4f8b\u3092\u898b\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<h2 class=\"wp-block-heading\">\u884c\u5217\u306e\u56fa\u6709\u5024\u3068\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u3092\u8a08\u7b97\u3059\u308b\u4f8b:<\/h2>\n<ul>\n<li>\u6b21\u306e\u884c\u5217\u306e\u56fa\u6709\u5024\u3068\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u3092\u6c42\u3081\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-e82dbe4f6e975e1374cab2c1b74638b9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A= \\begin{pmatrix}1&amp;0\\\\[1.1ex] 5&amp;2\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"95\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u307e\u305a\u3001\u884c\u5217\u306e\u7279\u6027\u65b9\u7a0b\u5f0f\u3092\u898b\u3064\u3051\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u3057\u3066\u3001\u305d\u306e\u305f\u3081\u306b\u306f\u3001\u6b21\u306e\u6c7a\u5b9a\u8981\u56e0\u3092\u89e3\u6c7a\u3059\u308b\u5fc5\u8981\u304c\u3042\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-283812fe5eed97f58568fb6e515e3ff5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{det}(A-\\lambda I)= \\begin{vmatrix}1- \\lambda &amp;0\\\\[1.1ex] 5&amp;2-\\lambda \\end{vmatrix} = \\lambda^2-3\\lambda +2\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"338\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u3053\u3053\u3067\u3001\u7279\u6027\u591a\u9805\u5f0f\u306e\u6839\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u5f97\u3089\u308c\u305f\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-2287061273d7f8502e0dbf1cb2fe1ad7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lambda^2-3\\lambda +2 = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"122\" style=\"vertical-align: -2px;\"><\/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-fdee5858b8b0187078ea372d9362900f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lambda= \\cfrac{-(-3)\\pm \\sqrt{(-3)^2-4\\cdot 1 \\cdot 2}}{2\\cdot 1} = \\cfrac{+3\\pm 1}{2}=\\begin{cases} \\lambda = 1 \\\\[2ex] \\lambda = 2 \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"419\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u65b9\u7a0b\u5f0f\u306e\u89e3\u306f\u884c\u5217\u306e\u56fa\u6709\u5024\u3067\u3059\u3002<\/p>\n<p>\u56fa\u6709\u5024\u3092\u53d6\u5f97\u3057\u305f\u3089\u3001\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002\u3053\u308c\u3092\u884c\u3046\u306b\u306f\u3001\u56fa\u6709\u5024\u3054\u3068\u306b\u6b21\u306e\u30b7\u30b9\u30c6\u30e0\u3092\u89e3\u304f\u5fc5\u8981\u304c\u3042\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-372f1009cb2b47f939cf9291f0f23885_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle (A-\\lambda I)v=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"109\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u307e\u305a\u3001\u56fa\u6709\u5024 1 \u306b\u95a2\u9023\u4ed8\u3051\u3089\u308c\u305f\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u3092\u8a08\u7b97\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-372f1009cb2b47f939cf9291f0f23885_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle (A-\\lambda I)v=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"109\" style=\"vertical-align: -5px;\"><\/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-4f0cbd7a7e0670410881dcc0bfd4969c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle (A-1 I)\\begin{pmatrix}x \\\\[1.1ex] y \\end{pmatrix} =}\\begin{pmatrix}0 \\\\[1.1ex] 0 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"163\" 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-e1f49b7ecec643964e4a14cd17ddecb4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix}0&amp;0\\\\[1.1ex] 5&amp;1\\end{pmatrix}\\begin{pmatrix}x \\\\[1.1ex] y \\end{pmatrix} =}\\begin{pmatrix}0 \\\\[1.1ex] 0 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"156\" 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-06473aeaa487551bca2eb98ff786c8f5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left.\\begin{array}{l} 0x+0y = 0 \\\\[2ex] 5x+y = 0\\end{array}\\right\\}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"112\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u3053\u308c\u3089\u306e\u65b9\u7a0b\u5f0f\u304b\u3089\u3001\u6b21\u306e\u90e8\u5206\u7a7a\u9593\u304c\u5f97\u3089\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-82da1eb92338b5dc67c9e65188b6c247_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle y=-5x\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"66\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u90e8\u5206\u7a7a\u9593\u306f\u56fa\u6709\u7a7a\u9593\u3068\u3082\u547c\u3070\u308c\u307e\u3059\u3002<\/p>\n<p>\u6b21\u306b\u3001\u3053\u306e\u30af\u30ea\u30fc\u30f3 \u30b9\u30da\u30fc\u30b9\u306e\u30d9\u30fc\u30b9\u3092\u898b\u3064\u3051\u308b\u5fc5\u8981\u304c\u3042\u308b\u305f\u3081\u3001\u305f\u3068\u3048\u3070\u5909\u6570\u306b\u5024 1 \u3092\u4e0e\u3048\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-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u305d\u3057\u3066\u6b21\u306e\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u3092\u53d6\u5f97\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-f4700ed7bb632b97f0ce1bec12409888_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle x = 1 \\ \\longrightarrow \\ y=-5\\cdot 1 = -5\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"216\" style=\"vertical-align: -4px;\"><\/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-8af03064a8f197990df832e71472cab0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle v = \\begin{pmatrix}1 \\\\[1.1ex] -5\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"79\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"adsb30\" style=\" margin:px; text-align:\"><\/div>\n<p>\u6700\u5f8c\u306b\u3001\u56fa\u6709\u5024 1 \u306b\u95a2\u9023\u4ed8\u3051\u3089\u308c\u305f\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u304c\u898b\u3064\u304b\u3063\u305f\u3089\u3001\u30d7\u30ed\u30bb\u30b9\u3092\u7e70\u308a\u8fd4\u3057\u3066\u56fa\u6709\u5024 2 \u306e\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u3092\u8a08\u7b97\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-372f1009cb2b47f939cf9291f0f23885_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle (A-\\lambda I)v=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"109\" style=\"vertical-align: -5px;\"><\/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-3d52ccfc2cbc996d3844af6c699a81b2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle (A-2I)\\begin{pmatrix}x \\\\[1.1ex] y \\end{pmatrix} =}\\begin{pmatrix}0 \\\\[1.1ex] 0 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"163\" 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-24442a53901cc9f0622aecf66ef2dc25_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix}-1&amp;0\\\\[1.1ex] 5&amp;0\\end{pmatrix}\\begin{pmatrix}x \\\\[1.1ex] y \\end{pmatrix} =}\\begin{pmatrix}0 \\\\[1.1ex] 0 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"169\" 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-fbd3a434bf3f89ed38a893a98befee97_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left.\\begin{array}{l} -x+0y = 0 \\\\[2ex] 5x+0y = 0\\end{array}\\right\\} \\longrightarrow \\ x=0\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"207\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u3053\u306e\u5834\u5408\u3001\u30d9\u30af\u30c8\u30eb\u306e\u6700\u521d\u306e\u6210\u5206\u306e\u307f\u304c 0 \u3067\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u3044\u305f\u3081\u3001\u4efb\u610f\u306e\u5024\u3092\u4e0e\u3048\u308b\u3053\u3068\u304c\u3067\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-0af556714940c351c933bba8cf840796_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u3002\u305f\u3060\u3057\u3001\u7c21\u5358\u306b\u3059\u308b\u305f\u3081\u306b 1 \u3092\u5165\u529b\u3059\u308b\u3053\u3068\u3092\u304a\u52e7\u3081\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-f47b6a21a448d003d909c0c1c969b8f6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle v = \\begin{pmatrix}0 \\\\[1.1ex] 1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"66\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u7d50\u8ad6\u3068\u3057\u3066\u3001\u884c\u5217\u306e\u56fa\u6709\u5024\u3068\u56fa\u6709\u30d9\u30af\u30c8\u30eb\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-1668ed5f36ad0a8fcb28a264c76b6163_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lambda = 1 \\qquad v = \\begin{pmatrix}1 \\\\[1.1ex] -5 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"158\" 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-56b0287c0bea71a1e5a258373aaa47d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lambda = 2 \\qquad v = \\begin{pmatrix}0 \\\\[1.1ex] 1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"144\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u884c\u5217\u306e\u56fa\u6709\u5024\u3068\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u3092\u898b\u3064\u3051\u308b\u65b9\u6cd5\u3092\u77e5\u308b\u3068\u3001\u305d\u308c\u3089\u306f\u4f55\u306e\u305f\u3081\u306b\u3042\u308b\u306e\u304b\u7591\u554f\u306b\u601d\u3046\u304b\u3082\u3057\u308c\u307e\u305b\u3093\u3002\u305d\u3046\u3067\u3059\u306d\u3001\u3053\u308c\u3089\u306f<a href=\"https:\/\/mathority.org\/ja\/\u5bfe\u89d2\u5316\u53ef\u80fd\u306a\u884c\u5217\u3092\u5bfe\u89d2\u5316\u3059\u308b\u65b9\u6cd5-2x2-3x3-4x4-\u884c\u5217\u306e\u5bfe\u89d2\u5316\u3092\u6bb5\u968e\u7684\u306b\u89e3\u6c7a\u3059\u308b\u6f14\u7fd2\/\">\u884c\u5217\u306e\u5bfe\u89d2\u5316<\/a>\u306b\u975e\u5e38\u306b\u4fbf\u5229\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3057\u305f\u3002\u5b9f\u969b\u3001\u305d\u308c\u304c\u4e3b\u306a\u7528\u9014\u3067\u3059\u3002\u3055\u3089\u306b\u8a73\u3057\u304f\u77e5\u308a\u305f\u3044\u5834\u5408\u306f\u3001\u30ea\u30f3\u30af\u3092\u4f7f\u7528\u3057\u3066\u884c\u5217\u3092\u5bfe\u89d2\u5316\u3059\u308b\u65b9\u6cd5\u3092\u78ba\u8a8d\u3059\u308b\u3053\u3068\u3092\u304a\u52e7\u3081\u3057\u307e\u3059\u3002\u624b\u9806\u306f\u30b9\u30c6\u30c3\u30d7\u3054\u3068\u306b\u8aac\u660e\u3055\u308c\u3066\u304a\u308a\u3001\u4f8b\u3084\u89e3\u6c7a\u6e08\u307f\u306e\u6f14\u7fd2\u3082\u542b\u307e\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n<h2 class=\"wp-block-heading\">\u56fa\u6709\u5024\u3068\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u306b\u95a2\u3059\u308b\u89e3\u6c7a\u6e08\u307f\u6f14\u7fd2 (\u56fa\u6709\u5024\u3068\u56fa\u6709\u30d9\u30af\u30c8\u30eb)<\/h2>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 1<\/h3>\n<p>\u6b21\u306e 2 \u6b21\u6b63\u65b9\u884c\u5217\u306e\u56fa\u6709\u5024\u3068\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u3092\u8a08\u7b97\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-0c6e3869ea2848140f026afc2ff8d554_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A= \\begin{pmatrix}3&amp;1\\\\[1.1ex] 2&amp;4\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"95\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u89e3\u6c7a\u7b56\u3092\u53c2\u7167<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u307e\u305a\u3001\u4e3b\u5bfe\u89d2\u4e0a\u306e\u884c\u5217\u304b\u3089 \u03bb \u3092\u5f15\u3044\u305f\u884c\u5217\u5f0f\u3092\u8a08\u7b97\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-fadce42062bb04b7477318fdc35c4285_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{det}(A-\\lambda I)= \\begin{vmatrix}3- \\lambda &amp;1\\\\[1.1ex] 2&amp;4-\\lambda \\end{vmatrix} = \\lambda^2-7\\lambda +10\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"348\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6b21\u306b\u3001\u7279\u6027\u591a\u9805\u5f0f\u306e\u6839\u3092\u8a08\u7b97\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-7139127430fa6b78b78715d57a6fdf1f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lambda^2-7\\lambda +10=0 \\ \\longrightarrow \\ \\begin{cases} \\lambda = 2 \\\\[2ex] \\lambda = 5 \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"239\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56fa\u6709\u5024 2 \u306b\u95a2\u9023\u4ed8\u3051\u3089\u308c\u305f\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u3092\u8a08\u7b97\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-1b024c5f7e5acd0be55824c37befc587_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle (A- 2I)v=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"108\" style=\"vertical-align: -5px;\"><\/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-614f9247b0d79635f70ec79eaa8c6529_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix}1&amp;1\\\\[1.1ex] 2&amp;2\\end{pmatrix}\\begin{pmatrix}x \\\\[1.1ex] y \\end{pmatrix} =}\\begin{pmatrix}0 \\\\[1.1ex] 0 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"156\" 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-272495fa6e8f89ba4e7c6a6d848cb38a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left.\\begin{array}{l} x+y = 0 \\\\[2ex] 2x+2y = 0\\end{array}\\right\\} \\longrightarrow \\ x=-y\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"216\" 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-77c240aaa8b75f1e5353c295ee86ad50_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle v = \\begin{pmatrix}1 \\\\[1.1ex] -1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"79\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6b21\u306b\u3001\u56fa\u6709\u5024 5 \u306b\u95a2\u9023\u4ed8\u3051\u3089\u308c\u305f\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u3092\u8a08\u7b97\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-f48052a078660236820e9f605996e193_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle (A-5I)v=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"108\" style=\"vertical-align: -5px;\"><\/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-b8aa7cae3057d78343128cd1095df24e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix}-2&amp;1\\\\[1.1ex] 2&amp;-1\\end{pmatrix}\\begin{pmatrix}x \\\\[1.1ex] y \\end{pmatrix} =}\\begin{pmatrix}0 \\\\[1.1ex] 0 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"183\" 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-d8c38e500cf7103b1dc0e91ea1b4531a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left.\\begin{array}{l} -2x+y = 0 \\\\[2ex] 2x-y = 0\\end{array}\\right\\} \\longrightarrow \\ y=2x\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"216\" 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-8be56f81b5aef28783636f85c4dbd643_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle v = \\begin{pmatrix}1 \\\\[1.1ex] 2 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"66\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001\u884c\u5217 A \u306e\u56fa\u6709\u5024\u3068\u56fa\u6709\u30d9\u30af\u30c8\u30eb\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-cde889d89562f2e42bd6610b0045c118_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lambda = 2 \\qquad v = \\begin{pmatrix}1 \\\\[1.1ex] -1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"158\" 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-3e954ba60fdc7eba60ba8530980854c5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lambda = 5 \\qquad v = \\begin{pmatrix}1\\\\[1.1ex] 2 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"144\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-118\"><\/div>\n<\/div>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 2<\/h3>\n<p>\u6b21\u306e 2&#215;2 \u6b63\u65b9\u884c\u5217\u306e\u56fa\u6709\u5024\u3068\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u3092\u6c7a\u5b9a\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-54b0188c9fbadd6c3e35315443b71efd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A= \\begin{pmatrix}2&amp;1\\\\[1.1ex] 3&amp;0\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"95\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u89e3\u6c7a\u7b56\u3092\u53c2\u7167<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u307e\u305a\u3001\u4e3b\u5bfe\u89d2\u7dda\u4e0a\u306e\u884c\u5217\u306e\u884c\u5217\u5f0f\u304b\u3089 \u03bb \u3092\u5f15\u3044\u305f\u5024\u3092\u8a08\u7b97\u3057\u3066\u3001\u7279\u6027\u65b9\u7a0b\u5f0f\u3092\u53d6\u5f97\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-88fcd3b21ad2fa5a4d1d7789a86043e5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{det}(A-\\lambda I)= \\begin{vmatrix}2- \\lambda &amp;1\\\\[1.1ex] 3&amp;-\\lambda \\end{vmatrix} = \\lambda^2-2\\lambda -3\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"323\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6b21\u306b\u3001\u7279\u6027\u591a\u9805\u5f0f\u306e\u6839\u3092\u8a08\u7b97\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-2614817b28bdb25c4fd89d4c773b4e35_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lambda^2-2\\lambda -3=0 \\ \\longrightarrow \\ \\begin{cases} \\lambda = -1 \\\\[2ex] \\lambda = 3 \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"244\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56fa\u6709\u5024 -1 \u306b\u95a2\u9023\u4ed8\u3051\u3089\u308c\u305f\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u3092\u8a08\u7b97\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-f3e4bb6ba47bb4b9084b8a34d03dd35f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle (A-(-1)I)v=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"135\" style=\"vertical-align: -5px;\"><\/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-cdddf8c6da3e8066da62f60da7e9c603_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle (A+1I)v=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"108\" style=\"vertical-align: -5px;\"><\/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-e4b3d926f1a25454c3e645d79b28887d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix} 3&amp;1\\\\[1.1ex] 3&amp;1\\end{pmatrix}\\begin{pmatrix}x \\\\[1.1ex] y \\end{pmatrix} =}\\begin{pmatrix}0 \\\\[1.1ex] 0 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"156\" 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-a7a6529e3ed8eb1607caa88475bcbb8f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left.\\begin{array}{l} 3x+1y = 0 \\\\[2ex] 3x+1y = 0\\end{array}\\right\\} \\longrightarrow \\ y=-3x\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"225\" 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-67716508d5a9772f98c3f006f012dff1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle v = \\begin{pmatrix}1 \\\\[1.1ex] -3 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"79\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6b21\u306b\u3001\u56fa\u6709\u5024 3 \u306b\u95a2\u9023\u4ed8\u3051\u3089\u308c\u305f\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u3092\u8a08\u7b97\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-50e802072a0f6e2942bc873d6a466909_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle (A-3I)v=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"108\" style=\"vertical-align: -5px;\"><\/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-20e5d0be7e6dbe91bf15c835dac63b38_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix}-1&amp;1\\\\[1.1ex] 3&amp;-3\\end{pmatrix}\\begin{pmatrix}x \\\\[1.1ex] y \\end{pmatrix} =}\\begin{pmatrix}0 \\\\[1.1ex] 0 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"183\" 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-8355b1ade79ba1508633f309926bc221_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left.\\begin{array}{l} -1x+1y = 0 \\\\[2ex] 3x-3y = 0\\end{array}\\right\\} \\longrightarrow \\ y=x\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"216\" 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-0f3cac5769795f1730fcbf118fdfbbc3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle v = \\begin{pmatrix}1 \\\\[1.1ex] 1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"66\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001\u884c\u5217 A \u306e\u56fa\u6709\u5024\u3068\u56fa\u6709\u30d9\u30af\u30c8\u30eb\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-95e2b0bf0405bc0c301600cbb4b2b28a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lambda = -1 \\qquad v = \\begin{pmatrix}1 \\\\[1.1ex] -3 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"172\" 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-6322d97c5d24c1227b06dddf4b0974c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lambda = 3 \\qquad v = \\begin{pmatrix}1\\\\[1.1ex] 1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"144\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 3<\/h3>\n<p>\u6b21\u306e 3 \u6b21\u884c\u5217\u306e\u56fa\u6709\u5024\u3068\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u3092\u6c7a\u5b9a\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-a0e4f4147cbc9e0b657ff432f64bc8e2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A= \\begin{pmatrix}1&amp;2&amp;0\\\\[1.1ex] 2&amp;1&amp;0\\\\[1.1ex] 0&amp;1&amp;2\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"122\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u89e3\u6c7a\u7b56\u3092\u53c2\u7167<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u307e\u305a\u3001\u884c\u5217 A \u304b\u3089\u30e9\u30e0\u30c0\u3092\u4e57\u3058\u305f\u5358\u4f4d\u884c\u5217\u3092\u5f15\u3044\u305f\u884c\u5217\u5f0f\u3092\u89e3\u304d\u3001\u7279\u6027\u65b9\u7a0b\u5f0f\u3092\u53d6\u5f97\u3059\u308b\u5fc5\u8981\u304c\u3042\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-0af2ff4694103925883916b6a974c84d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{det}(A-\\lambda I)= \\begin{vmatrix}1-\\lambda&amp;2&amp;0\\\\[1.1ex] 2&amp;1-\\lambda&amp;0\\\\[1.1ex] 0&amp;1&amp;2-\\lambda\\end{vmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"281\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3053\u306e\u5834\u5408\u3001\u884c\u5217\u5f0f\u306e\u6700\u5f8c\u306e\u5217\u306b\u306f 2 \u3064\u306e\u30bc\u30ed\u304c\u3042\u308b\u305f\u3081\u3001\u3053\u308c\u3092\u5229\u7528\u3057\u3066\u3001\u3053\u306e\u5217\u3092\u4ecb\u3057\u3066\u4f59\u56e0\u5b50 (\u307e\u305f\u306f\u88dc\u6570) \u306b\u3088\u3063\u3066\u884c\u5217\u5f0f\u3092\u8a08\u7b97\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-ec7e7a2ec96b8d0721392c28838d105e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{aligned} \\begin{vmatrix}1-\\lambda&amp;2&amp;0\\\\[1.1ex] 2&amp;1-\\lambda&amp;0\\\\[1.1ex] 0&amp;1&amp;2-\\lambda\\end{vmatrix}&amp; = (2-\\lambda)\\cdot  \\begin{vmatrix}1-\\lambda&amp;2\\\\[1.1ex] 2&amp;1-\\lambda \\end{vmatrix} \\\\[3ex] &amp; = (2-\\lambda)[\\lambda^2 -2\\lambda -3] \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"136\" width=\"364\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6b21\u306b\u3001\u7279\u6027\u591a\u9805\u5f0f\u306e\u6839\u3092\u8a08\u7b97\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u62ec\u5f27\u3092\u4e57\u7b97\u3057\u306a\u3044\u65b9\u304c\u3088\u3044\u306e\u306f\u30013 \u6b21\u591a\u9805\u5f0f\u304c\u5f97\u3089\u308c\u308b\u304b\u3089\u3067\u3059\u3002\u4e00\u65b9\u30012 \u3064\u306e\u56e0\u5b50\u3092\u5225\u3005\u306b\u89e3\u304f\u3068\u3001\u56fa\u6709\u5024\u3092\u53d6\u5f97\u3059\u308b\u306e\u304c\u7c21\u5358\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-adbfb1815d4a480c0584dfee1d8039fb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle (2-\\lambda)[\\lambda^2 -2\\lambda -3]=0 \\ \\longrightarrow \\ \\begin{cases} 2-\\lambda=0 \\ \\longrightarrow \\ \\lambda = 2 \\\\[2ex] \\lambda^2 -2\\lambda -3=0 \\ \\longrightarrow \\begin{cases}\\lambda = -1 \\\\[2ex] \\lambda = 3 \\end{cases} \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"489\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56fa\u6709\u5024 2 \u306b\u95a2\u9023\u4ed8\u3051\u3089\u308c\u305f\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u3092\u8a08\u7b97\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-6c6944f71d79a33d4789affbc82db4c1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle (A-2I)v=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"108\" style=\"vertical-align: -5px;\"><\/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-a6a12c460df4d2f44709c4fd595193dc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix} -1&amp;2&amp;0\\\\[1.1ex] 2&amp;-1&amp;0\\\\[1.1ex] 0&amp;1&amp;0\\end{pmatrix}\\begin{pmatrix}x \\\\[1.1ex] y \\\\[1.1ex] z \\end{pmatrix} =\\begin{pmatrix}0 \\\\[1.1ex] 0\\\\[1.1ex] 0 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"216\" 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-5c24e4b7b060a826203e3a049ddfc191_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left.\\begin{array}{l} -x+2y = 0 \\\\[2ex] 2x-y = 0\\\\[2ex] y=0 \\end{array}\\right\\} \\longrightarrow \\ \\begin{array}{l} y=0 \\\\[2ex] x=y=0 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"248\" 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-75ebf6f61121b67afd80cdcec30a1709_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle v = \\begin{pmatrix}0 \\\\[1.1ex] 0 \\\\[1.1ex] 1\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"68\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56fa\u6709\u5024 -1 \u306b\u95a2\u9023\u4ed8\u3051\u3089\u308c\u305f\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u3092\u8a08\u7b97\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-76cc8bb12c3b49d4964b2b3f661677ae_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle (A+I)v=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"99\" style=\"vertical-align: -5px;\"><\/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-d23c4438a53032df27cc5334d4437c18_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix} 2&amp;2&amp;0\\\\[1.1ex] 2&amp;2&amp;0\\\\[1.1ex] 0&amp;1&amp;3\\end{pmatrix}\\begin{pmatrix}x \\\\[1.1ex] y \\\\[1.1ex] z \\end{pmatrix} =\\begin{pmatrix}0 \\\\[1.1ex] 0\\\\[1.1ex] 0 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"188\" 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-e023d57d34510e5e8f3a37c20d170e72_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left.\\begin{array}{l} 2x+2y = 0 \\\\[2ex] 2x+2y = 0\\\\[2ex] y+3z=0 \\end{array}\\right\\} \\longrightarrow \\ \\begin{array}{l} x=-y \\\\[2ex] y=-3z \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"233\" 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-0be9ef18fb17845818bdd9de51dcb114_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle v = \\begin{pmatrix}3 \\\\[1.1ex] -3 \\\\[1.1ex] 1\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"82\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56fa\u6709\u5024 3 \u306b\u95a2\u9023\u4ed8\u3051\u3089\u308c\u305f\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u3092\u8a08\u7b97\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-50e802072a0f6e2942bc873d6a466909_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle (A-3I)v=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"108\" style=\"vertical-align: -5px;\"><\/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-d0360154b87545dd87e1b0b7bc06f4e7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix} -2&amp;2&amp;0\\\\[1.1ex] 2&amp;-2&amp;0\\\\[1.1ex] 0&amp;1&amp;-1\\end{pmatrix}\\begin{pmatrix}x \\\\[1.1ex] y \\\\[1.1ex] z \\end{pmatrix} =\\begin{pmatrix}0 \\\\[1.1ex] 0\\\\[1.1ex] 0 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"229\" 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-b8d514791286e43eae4b09d893d528df_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left.\\begin{array}{l} -2x+2y = 0 \\\\[2ex] 2x-2y = 0\\\\[2ex] y-z=0 \\end{array}\\right\\} \\longrightarrow \\ \\begin{array}{l} x=y \\\\[2ex] y=z \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"224\" 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-99f86f65a5a9c69119285377d88f2efa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle v = \\begin{pmatrix}1 \\\\[1.1ex] 1 \\\\[1.1ex] 1\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"68\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001\u884c\u5217 A \u306e\u56fa\u6709\u5024\u3068\u56fa\u6709\u30d9\u30af\u30c8\u30eb\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-fe42249314c1698847242c608bd65843_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lambda = 2 \\qquad v = \\begin{pmatrix}0 \\\\[1.1ex] 0 \\\\[1.1ex] 1\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"146\" 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-d412e1f81df9d6425db73113aaae5cd8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lambda = -1 \\qquad v = \\begin{pmatrix}3 \\\\[1.1ex] -3 \\\\[1.1ex] 1\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"174\" 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-f581aa37c9698dfb32062777a5a75b11_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lambda = 3 \\qquad v = \\begin{pmatrix}1\\\\[1.1ex] 1 \\\\[1.1ex] 1\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"146\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 4<\/h3>\n<p>\u6b21\u306e 3&#215;3 \u6b63\u65b9\u884c\u5217\u306e\u56fa\u6709\u5024\u3068\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u3092\u8a08\u7b97\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-1323184f42d56f070e5b46a75a2e5c4d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A= \\begin{pmatrix}2&amp;1&amp;3\\\\[1.1ex]-1&amp;1&amp;1\\\\[1.1ex] 1&amp;2&amp;4\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"136\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u89e3\u6c7a\u7b56\u3092\u53c2\u7167<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u307e\u305a\u3001\u884c\u5217\u306e\u4e3b\u5bfe\u89d2\u7dda\u4e0a\u306e\u884c\u5217\u5f0f\u304b\u3089 \u03bb \u3092\u5f15\u3044\u305f\u3082\u306e\u3092\u89e3\u304d\u3001\u7279\u6027\u65b9\u7a0b\u5f0f\u3092\u53d6\u5f97\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-bc48c8489b25004ef131cc6ced36b929_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{det}(A-\\lambda I)= \\begin{vmatrix}2-\\lambda&amp;1&amp;3\\\\[1.1ex]-1&amp;1-\\lambda&amp;1\\\\[1.1ex] 1&amp;2&amp;4-\\lambda\\end{vmatrix}=-\\lambda^3+7\\lambda^2-10\\lambda\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"437\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u7279\u6027\u591a\u9805\u5f0f\u304b\u3089\u5171\u901a\u56e0\u6570\u3092\u62bd\u51fa\u3057\u3001\u5404\u65b9\u7a0b\u5f0f\u304b\u3089 \u03bb \u3092\u6c42\u3081\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-411dab2f65b426c37f8427d81ef13e97_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lambda(-\\lambda^2+7\\lambda-10)=0 \\ \\longrightarrow \\ \\begin{cases} \\lambda=0\\\\[2ex] -\\lambda^2+7\\lambda-10=0 \\ \\longrightarrow \\begin{cases}\\lambda = 2 \\\\[2ex] \\lambda = 5 \\end{cases} \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"481\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56fa\u6709\u5024 0 \u306b\u95a2\u9023\u4ed8\u3051\u3089\u308c\u305f\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u3092\u8a08\u7b97\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-0e3b04137690f84b723e3ed568e1114a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle (A-0I)v=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"108\" style=\"vertical-align: -5px;\"><\/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-bd7ebe2424c6524d522d5bba16d72d33_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix} 2&amp;1&amp;3\\\\[1.1ex]-1&amp;1&amp;1\\\\[1.1ex] 1&amp;2&amp;4\\end{pmatrix}\\begin{pmatrix}x \\\\[1.1ex] y \\\\[1.1ex] z \\end{pmatrix} =\\begin{pmatrix}0 \\\\[1.1ex] 0\\\\[1.1ex] 0 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"202\" 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-12cd10d2dc8afdb7a045beae4946b64d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left.\\begin{array}{l} 2x+y+3z= 0 \\\\[2ex] -x+y+z= 0\\\\[2ex] x+2y+4z=0 \\end{array}\\right\\} \\longrightarrow \\ \\begin{array}{l} x=-\\cfrac{2z}{3} \\\\[4ex] y=-\\cfrac{5z}{3} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"104\" width=\"266\" 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-a34877b285f281c83d7e73fa8eb40b9f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle v = \\begin{pmatrix}-2 \\\\[1.1ex] -5\\\\[1.1ex] 3\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"82\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56fa\u6709\u5024 2 \u306b\u95a2\u9023\u4ed8\u3051\u3089\u308c\u305f\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u3092\u8a08\u7b97\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-6c6944f71d79a33d4789affbc82db4c1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle (A-2I)v=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"108\" style=\"vertical-align: -5px;\"><\/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-fbcc697a3be877838fae3507dd3c1b68_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix} 0&amp;1&amp;3\\\\[1.1ex]-1&amp;-1&amp;1\\\\[1.1ex] 1&amp;2&amp;2\\end{pmatrix}\\begin{pmatrix}x \\\\[1.1ex] y \\\\[1.1ex] z \\end{pmatrix} =\\begin{pmatrix}0 \\\\[1.1ex] 0\\\\[1.1ex] 0 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"216\" 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-bb8d470bc7bff9f5d8d5a0245b1e7cbf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left.\\begin{array}{l} y+3z = 0 \\\\[2ex] -x-y+z= 0\\\\[2ex] x+2y+2z=0 \\end{array}\\right\\} \\longrightarrow \\ \\begin{array}{l} y=-3z \\\\[2ex] x=4z \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"263\" 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-30e589c5ae6b940b901454c296d8342b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle v = \\begin{pmatrix}4\\\\[1.1ex] -3 \\\\[1.1ex] 1\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"82\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56fa\u6709\u5024 5 \u306b\u95a2\u9023\u4ed8\u3051\u3089\u308c\u305f\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u3092\u8a08\u7b97\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-f48052a078660236820e9f605996e193_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle (A-5I)v=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"108\" style=\"vertical-align: -5px;\"><\/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-aaf6f17dedf5eecd1e035b9da59da2c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix} -3&amp;1&amp;3\\\\[1.1ex]-1&amp;-4&amp;1\\\\[1.1ex] 1&amp;2&amp;-1\\end{pmatrix}\\begin{pmatrix}x \\\\[1.1ex] y \\\\[1.1ex] z \\end{pmatrix} =\\begin{pmatrix}0 \\\\[1.1ex] 0\\\\[1.1ex] 0 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"229\" style=\"vertical-align: 0px;\"><\/p>\n<\/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-dca8569528fb4923639dd535e25a0f74_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left.\\begin{array}{l} -3x+y+3z = 0 \\\\[2ex] -x-4y+z = 0\\\\[2ex] x+2y-z=0 \\end{array}\\right\\} \\longrightarrow \\ \\begin{array}{l} x=z \\\\[2ex] y=0 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"255\" 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-308b2f0f597fcc084d8d06d6c45fd3e5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle v = \\begin{pmatrix}1 \\\\[1.1ex] 0 \\\\[1.1ex] 1\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"68\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001\u884c\u5217 A \u306e\u56fa\u6709\u5024\u3068\u56fa\u6709\u30d9\u30af\u30c8\u30eb\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-62d8a98f007b72910fcd79622eda19e7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lambda = 0 \\qquad v = \\begin{pmatrix}-2 \\\\[1.1ex] -5 \\\\[1.1ex] 3\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"160\" 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-ee67e876a46b09430d2d73a653f2d743_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lambda = 2 \\qquad v = \\begin{pmatrix}4 \\\\[1.1ex] -3 \\\\[1.1ex] 1\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"160\" 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-99e4e8b0b837c26991777a294f30d49a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lambda = 5 \\qquad v = \\begin{pmatrix}1\\\\[1.1ex] 0 \\\\[1.1ex] 1\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"146\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-119\"><\/div>\n<\/div>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 5<\/h3>\n<p>\u6b21\u306e 3&#215;3 \u884c\u5217\u306e\u56fa\u6709\u5024\u3068\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u3092\u8a08\u7b97\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-a39253beac54a05e9e84d431daf43362_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A= \\begin{pmatrix}2&amp;2&amp;2\\\\[1.1ex] 1&amp;2&amp;0\\\\[1.1ex] 0&amp;1&amp;3\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"122\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u89e3\u6c7a\u7b56\u3092\u53c2\u7167<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u307e\u305a\u3001\u884c\u5217\u306e\u4e3b\u5bfe\u89d2\u7dda\u4e0a\u306e\u884c\u5217\u5f0f\u304b\u3089 \u03bb \u3092\u5f15\u3044\u305f\u3082\u306e\u3092\u89e3\u304d\u3001\u7279\u6027\u65b9\u7a0b\u5f0f\u3092\u53d6\u5f97\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-9392bbf957bee6c445c64192ae96a2ce_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{det}(A-\\lambda I)= \\begin{vmatrix}2-\\lambda&amp;2&amp;2\\\\[1.1ex] 1&amp;2-\\lambda&amp;0\\\\[1.1ex] 0&amp;1&amp;3-\\lambda\\end{vmatrix}=-\\lambda^3+7\\lambda^2-14\\lambda+8\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"468\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u30eb\u30d5\u30a3\u30cb\u306e\u6cd5\u5247\u3092\u4f7f\u7528\u3057\u3066\u3001\u7279\u6027\u591a\u9805\u5f0f\u306e\u6839\u307e\u305f\u306f\u6700\u5c0f\u591a\u9805\u5f0f\u3092\u6c42\u3081\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-152ec29207fec8bdac7dabe9e1fbff31_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{array}{r|rrrr} &amp; -1&amp;7&amp;-14&amp;8 \\\\[2ex] 1 &amp; &amp; -1&amp;6&amp;-8 \\\\ \\hline &amp;-1\\vphantom{\\Bigl)}&amp;6&amp;-8&amp;0 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"93\" width=\"190\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u305d\u3057\u3066\u3001\u5f97\u3089\u308c\u305f\u591a\u9805\u5f0f\u306e\u6839\u3092\u6c42\u3081\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-b92304d107c097ec5712527929011440_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle -\\lambda^2+6\\lambda -8=0 \\ \\longrightarrow \\ \\begin{cases} \\lambda =2 \\\\[2ex] \\lambda = 4 \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"244\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001\u884c\u5217\u306e\u56fa\u6709\u5024\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-05492792022e885b332adb0cbba45a0d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lambda=1 \\qquad \\lambda =2 \\qquad \\lambda = 4\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"200\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56fa\u6709\u5024 1 \u306b\u95a2\u9023\u4ed8\u3051\u3089\u308c\u305f\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u3092\u8a08\u7b97\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-78173073be8dbdcab8a122ade043906d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle (A-1I)v=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"108\" style=\"vertical-align: -5px;\"><\/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-981cc7881e44436326a35a7cc36ad26a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix} 1&amp;2&amp;2\\\\[1.1ex] 1&amp;1&amp;0\\\\[1.1ex] 0&amp;1&amp;2\\end{pmatrix}\\begin{pmatrix}x \\\\[1.1ex] y \\\\[1.1ex] z \\end{pmatrix} =\\begin{pmatrix}0 \\\\[1.1ex] 0\\\\[1.1ex] 0 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"188\" 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-d928870722dec65e8b48f7175d5dd4ba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left.\\begin{array}{l} x+2y+2z= 0 \\\\[2ex] x+y= 0\\\\[2ex] y+2z=0 \\end{array}\\right\\} \\longrightarrow \\ \\begin{array}{l} x=-y \\\\[2ex] y=-2z \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"263\" 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-da5ca9263773369d5824688b71a31644_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle v = \\begin{pmatrix}2 \\\\[1.1ex] -2\\\\[1.1ex] 1\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"82\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56fa\u6709\u5024 2 \u306b\u95a2\u9023\u4ed8\u3051\u3089\u308c\u305f\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u3092\u8a08\u7b97\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-6c6944f71d79a33d4789affbc82db4c1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle (A-2I)v=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"108\" style=\"vertical-align: -5px;\"><\/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-b9d1686e2947a9bbe1dc10b373128e1e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix} 0&amp;2&amp;2\\\\[1.1ex] 1&amp;0&amp;0\\\\[1.1ex] 0&amp;1&amp;1\\end{pmatrix}\\begin{pmatrix}x \\\\[1.1ex] y \\\\[1.1ex] z \\end{pmatrix} =\\begin{pmatrix}0 \\\\[1.1ex] 0\\\\[1.1ex] 0 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"188\" 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-6000063fd1cc954e119cd5d73d08c405_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left.\\begin{array}{l} 2y+2z = 0 \\\\[2ex] x= 0\\\\[2ex] y+z=0 \\end{array}\\right\\} \\longrightarrow \\ \\begin{array}{l} y=-z \\\\[2ex] x=0\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"222\" 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-d47216be7fc08447ac3022a105a086b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle v = \\begin{pmatrix}0\\\\[1.1ex] -1 \\\\[1.1ex] 1\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"82\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56fa\u6709\u5024 4 \u306b\u95a2\u9023\u4ed8\u3051\u3089\u308c\u305f\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u3092\u8a08\u7b97\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-0545c0847763140ccc62a58cf4207c6c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle (A-4I)v=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"108\" style=\"vertical-align: -5px;\"><\/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-15e38e9899a9e8bb47cfbf10a4f05075_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix} -2&amp;2&amp;2\\\\[1.1ex] 1&amp;-2&amp;0\\\\[1.1ex] 0&amp;1&amp;-1\\end{pmatrix}\\begin{pmatrix}x \\\\[1.1ex] y \\\\[1.1ex] z \\end{pmatrix} =\\begin{pmatrix}0 \\\\[1.1ex] 0\\\\[1.1ex] 0 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"229\" 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-004d61132ba8eeee123d8614432cbce2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left.\\begin{array}{l} -2x+2y+2z = 0 \\\\[2ex] x-2y = 0\\\\[2ex] y-z=0 \\end{array}\\right\\} \\longrightarrow \\ \\begin{array}{l} x=2y \\\\[2ex] y=z \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"273\" 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-5871bb6e88776aab87e0239540d43677_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle v = \\begin{pmatrix}2 \\\\[1.1ex] 1 \\\\[1.1ex] 1\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"68\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001\u884c\u5217 A \u306e\u56fa\u6709\u5024\u3068\u56fa\u6709\u30d9\u30af\u30c8\u30eb\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-f1ea8e2eff0c179b9872da8f6fab2d4e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lambda = 1 \\qquad v = \\begin{pmatrix}2\\\\[1.1ex] -2 \\\\[1.1ex] 1\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"160\" 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-edc6fd09f9c6a12b26518a9103cc6610_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lambda = 2 \\qquad v = \\begin{pmatrix}0 \\\\[1.1ex] -1 \\\\[1.1ex] 1\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"160\" 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-b492e98d771e76e77dc68d2fe2ea92c4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lambda = 4 \\qquad v = \\begin{pmatrix}2 \\\\[1.1ex] 1 \\\\[1.1ex] 1\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"146\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 6<\/h3>\n<p>\u6b21\u306e 4\u00d74 \u884c\u5217\u306e\u56fa\u6709\u5024\u3068\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u3092\u6c42\u3081\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-5cb04190d6f536d33b22265317441144_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix}1&amp;0&amp;-1&amp;0\\\\[1.1ex] 2&amp;-1&amp;-3&amp;0\\\\[1.1ex] -2&amp;0&amp;2&amp;0\\\\[1.1ex] 0&amp;0&amp;0&amp;3\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"189\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u89e3\u6c7a\u7b56\u3092\u53c2\u7167<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u7279\u6027\u65b9\u7a0b\u5f0f\u3092\u53d6\u5f97\u3059\u308b\u306b\u306f\u3001\u307e\u305a\u4e3b\u5bfe\u89d2\u7dda\u4e0a\u306e\u884c\u5217\u306e\u884c\u5217\u5f0f\u304b\u3089 \u03bb \u3092\u5f15\u3044\u305f\u3082\u306e\u3092\u89e3\u304f\u5fc5\u8981\u304c\u3042\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-35cae2dd143d77e22a522b49e8d43f3d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{det}(A-\\lambda I)= \\begin{vmatrix}1-\\lambda&amp;0&amp;-1&amp;0\\\\[1.1ex] 2&amp;-1-\\lambda&amp;-3&amp;0\\\\[1.1ex] -2&amp;0&amp;2-\\lambda&amp;0\\\\[1.1ex] 0&amp;0&amp;0&amp;3-\\lambda\\end{vmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"352\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3053\u306e\u5834\u5408\u3001\u884c\u5217\u5f0f\u306e\u6700\u5f8c\u306e\u5217\u306b\u306f 1 \u3064\u306e\u8981\u7d20\u3092\u9664\u3044\u3066\u30bc\u30ed\u306e\u307f\u304c\u542b\u307e\u308c\u3066\u3044\u308b\u305f\u3081\u3001\u3053\u308c\u3092\u5229\u7528\u3057\u3066\u3001\u3053\u306e\u5217\u3092\u4ecb\u3057\u3066\u88dc\u56e0\u5b50\u306b\u3088\u3063\u3066\u884c\u5217\u5f0f\u3092\u8a08\u7b97\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-456b0612b308c03fd1643a5ba0f332e5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{aligned} \\begin{vmatrix}1-\\lambda&amp;0&amp;-1&amp;0\\\\[1.1ex] 2&amp;-1-\\lambda&amp;-3&amp;0\\\\[1.1ex] -2&amp;0&amp;2-\\lambda&amp;0\\\\[1.1ex] 0&amp;0&amp;0&amp;3-\\lambda\\end{vmatrix}&amp; = (3-\\lambda)\\cdot  \\begin{vmatrix}1-\\lambda&amp;0&amp;-1\\\\[1.1ex] 2&amp;-1-\\lambda&amp;-3\\\\[1.1ex] -2&amp;0&amp;2-\\lambda\\end{vmatrix} \\\\[3ex] &amp; = (3-\\lambda)[-\\lambda^3 +2\\lambda^2 +3\\lambda] \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"161\" width=\"505\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6b21\u306b\u3001\u7279\u6027\u591a\u9805\u5f0f\u306e\u6839\u3092\u8a08\u7b97\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u62ec\u5f27\u3092\u4e57\u7b97\u3057\u306a\u3044\u65b9\u304c\u3088\u3044\u306e\u306f\u30014 \u6b21\u306e\u591a\u9805\u5f0f\u304c\u5f97\u3089\u308c\u308b\u304b\u3089\u3067\u3059\u3002\u4e00\u65b9\u30012 \u3064\u306e\u56e0\u5b50\u3092\u5225\u3005\u306b\u89e3\u304f\u3068\u3001\u56fa\u6709\u5024\u3092\u8a08\u7b97\u3059\u308b\u306e\u304c\u7c21\u5358\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-ef6e59f8631cac087c988004aa512b62_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle (3-\\lambda)[-\\lambda^3 +2\\lambda^2 +3\\lambda]=0 \\ \\longrightarrow \\ \\begin{cases} 3-\\lambda=0 \\ \\longrightarrow \\ \\lambda = 3 \\\\[2ex] -\\lambda^3 +2\\lambda^2 +3\\lambda =0 \\ \\longrightarrow \\ \\lambda(-\\lambda^2 +2\\lambda +3) =0 \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"620\" 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-786b2892e7045f117498697407d35552_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lambda(-\\lambda^2 +2\\lambda +3)=0 \\ \\longrightarrow \\ \\begin{cases} \\lambda=0  \\\\[2ex] -\\lambda^2 +2\\lambda +3=0 \\ \\longrightarrow \\ \\begin{cases} \\lambda=-1 \\\\[2ex] \\lambda = 3 \\end{cases}\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"483\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56fa\u6709\u5024 0 \u306b\u95a2\u9023\u4ed8\u3051\u3089\u308c\u305f\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u3092\u8a08\u7b97\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-0e3b04137690f84b723e3ed568e1114a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle (A-0I)v=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"108\" style=\"vertical-align: -5px;\"><\/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-f43f22947b29779ef456e4ac7a5d66a0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix} 1&amp;0&amp;-1&amp;0\\\\[1.1ex] 2&amp;-1&amp;-3&amp;0\\\\[1.1ex] -2&amp;0&amp;2&amp;0\\\\[1.1ex] 0&amp;0&amp;0&amp;3\\end{pmatrix}\\begin{pmatrix}w \\\\[1.1ex] x \\\\[1.1ex] y\\\\[1.1ex] z \\end{pmatrix} =\\begin{pmatrix}0 \\\\[1.1ex] 0\\\\[1.1ex] 0 \\\\[1.1ex] 0\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"258\" 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-c1d7e96203dceb7288f89ab932532351_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left.\\begin{array}{l} w-y = 0 \\\\[2ex] 2w-x-3y = 0\\\\[2ex] -2w+2y=0 \\\\[2ex] 3z=0 \\end{array}\\right\\} \\longrightarrow \\ \\begin{array}{l} w=y \\\\[2ex] x=-w  \\\\[2ex]z=0 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"129\" width=\"263\" 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-3c4a8b3ef3502a2bf8efd6cc398b5ae6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle v = \\begin{pmatrix}1 \\\\[1.1ex] -1 \\\\[1.1ex] 1  \\\\[1.1ex]0 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"82\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56fa\u6709\u5024 -1 \u306b\u95a2\u9023\u4ed8\u3051\u3089\u308c\u305f\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u3092\u8a08\u7b97\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-cdddf8c6da3e8066da62f60da7e9c603_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle (A+1I)v=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"108\" style=\"vertical-align: -5px;\"><\/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-7fbbdceca419f15672da0dcb7c15078c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix} 2&amp;0&amp;-1&amp;0\\\\[1.1ex] 2&amp;0&amp;-3&amp;0\\\\[1.1ex] -2&amp;0&amp;3&amp;0\\\\[1.1ex] 0&amp;0&amp;0&amp;4\\end{pmatrix}\\begin{pmatrix}w \\\\[1.1ex] x \\\\[1.1ex] y\\\\[1.1ex] z \\end{pmatrix} =\\begin{pmatrix}0 \\\\[1.1ex] 0\\\\[1.1ex] 0 \\\\[1.1ex] 0\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"244\" 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-3ff9a5afa0cefa73985e7ba00c945dac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left.\\begin{array}{l} 2w-y = 0 \\\\[2ex] 2w-3y = 0\\\\[2ex] -2w+3y=0 \\\\[2ex] 4z=0 \\end{array}\\right\\} \\longrightarrow \\ \\begin{array}{l} y=w=0  \\\\[2ex]z=0 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"129\" width=\"263\" 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-daee73fdcebacce8a5e5f7104ed9c213_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle v = \\begin{pmatrix}0 \\\\[1.1ex] 1 \\\\[1.1ex] 0  \\\\[1.1ex]0 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"68\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56fa\u6709\u5024 3 \u306b\u95a2\u9023\u4ed8\u3051\u3089\u308c\u305f\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u3092\u8a08\u7b97\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-50e802072a0f6e2942bc873d6a466909_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle (A-3I)v=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"108\" style=\"vertical-align: -5px;\"><\/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-6493c6019a8b9be3254db2ffeaa19703_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix} -2&amp;0&amp;-1&amp;0\\\\[1.1ex] 2&amp;-4&amp;-3&amp;0\\\\[1.1ex] -2&amp;0&amp;-1&amp;0\\\\[1.1ex] 0&amp;0&amp;0&amp;0\\end{pmatrix}\\begin{pmatrix}w \\\\[1.1ex] x \\\\[1.1ex] y\\\\[1.1ex] z \\end{pmatrix} =\\begin{pmatrix}0 \\\\[1.1ex] 0\\\\[1.1ex] 0 \\\\[1.1ex] 0\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"258\" 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-fbcbd01420d80be317ecbec57010b662_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left.\\begin{array}{l} -2w-y = 0 \\\\[2ex] 2w-4x-3y = 0\\\\[2ex] -2w-y=0 \\\\[2ex] 0=0 \\end{array}\\right\\} \\longrightarrow \\ \\begin{array}{l} y=-2w \\\\[2ex] x=2w  \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"129\" width=\"280\" 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-3b70eeb51bea073f058763401adf5240_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle v = \\begin{pmatrix}1 \\\\[1.1ex] 2 \\\\[1.1ex] -2  \\\\[1.1ex]0 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"82\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56fa\u6709\u5024 3 \u306f 2 \u56de\u7e70\u308a\u8fd4\u3055\u308c\u308b\u305f\u3081\u3001\u591a\u91cd\u5ea6\u306f 2 \u306b\u306a\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u540c\u3058\u65b9\u7a0b\u5f0f\u3092\u6e80\u305f\u3059\u5225\u306e\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u3092\u898b\u3064\u3051\u308b\u5fc5\u8981\u304c\u3042\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-5dc5fd38503b7683d8a7e3df9da9ee8d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle v = \\begin{pmatrix}0 \\\\[1.1ex] 0 \\\\[1.1ex] 0  \\\\[1.1ex]1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"68\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3057\u305f\u304c\u3063\u3066\u3001\u884c\u5217 A \u306e\u56fa\u6709\u5024\u3068\u56fa\u6709\u30d9\u30af\u30c8\u30eb\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-b8bd7188d1d3ed1abe178d9b5f5bbc0e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lambda = 0 \\qquad v = \\begin{pmatrix}1 \\\\[1.1ex] -1 \\\\[1.1ex] 1  \\\\[1.1ex]0\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"160\" 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-2ea128d2a6e5387bd538ac3d0119b2ce_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lambda = -1 \\qquad v = \\begin{pmatrix}0 \\\\[1.1ex] 1 \\\\[1.1ex] 0  \\\\[1.1ex]0 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"160\" 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-22d83a8f13bdb44bf1c23f3c6b963d65_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lambda = 3 \\qquad v = \\begin{pmatrix}1 \\\\[1.1ex] 2 \\\\[1.1ex] -2  \\\\[1.1ex]0\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"160\" 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-65cd815fe71a1c6d8063f0f78e3422a9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lambda = 3 \\qquad v = \\begin{pmatrix}0 \\\\[1.1ex] 0 \\\\[1.1ex] 0  \\\\[1.1ex]1\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"146\" style=\"vertical-align: 0px;\"><\/p>\n<\/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\u56fa\u6709\u5024\u3068\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u3068\u306f\u4f55\u304b\u3001\u305d\u308c\u305e\u308c\u56fa\u6709\u5024\u3068\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u3068\u3082\u547c\u3070\u308c\u308b\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u8a08\u7b97\u65b9\u6cd5\u306e\u4f8b\u3084\u3001\u6bb5\u968e\u7684\u306b\u89e3\u6c7a\u3055\u308c\u305f\u7df4\u7fd2\u554f\u984c\u3082\u63b2\u8f09\u3055\u308c\u3066\u3044\u307e\u3059\u3002 \u56fa\u6709\u5024\u3068\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u3068\u306f\u4f55\u3067\u3059\u304b? \u56fa\u6709\u5024\u3068\u56fa\u6709\u30d9 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ja\/%e5%9b%ba%e6%9c%89%e5%80%a4%e3%82%92%e8%a8%88%e7%ae%97%e3%81%99%e3%82%8b-%e8%a1%8c%e5%88%97%e3%81%ae%e5%9b%ba%e6%9c%89%e5%80%a4%e3%81%a8%e5%9b%ba%e6%9c%89%e3%83%99%e3%82%af%e3%83%88%e3%83%ab-%e5%9b%ba\/\"> <span class=\"screen-reader-text\">\u884c\u5217\u306e\u56fa\u6709\u5024 (\u307e\u305f\u306f\u56fa\u6709\u5024) \u3068\u56fa\u6709\u30d9\u30af\u30c8\u30eb (\u307e\u305f\u306f\u56fa\u6709\u30d9\u30af\u30c8\u30eb)<\/span> \u3082\u3063\u3068\u8aad\u3080 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