{"id":3333,"date":"2019-09-04T08:42:55","date_gmt":"2019-09-03T23:42:55","guid":{"rendered":"http:\/\/kogakubu.com\/?p=3333"},"modified":"2022-05-15T19:50:07","modified_gmt":"2022-05-15T10:50:07","slug":"%e3%80%90%e9%99%a2%e8%a9%a6%e5%af%be%e7%ad%96%e3%80%91%e7%b7%9a%e5%bd%a2%e4%bb%a3%e6%95%b0%e2%91%a3%ef%bc%88%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","status":"publish","type":"post","link":"https:\/\/kogakubu.com\/?p=3333","title":{"rendered":"\u3010\u9662\u8a66\u5bfe\u7b56\u3011\u7dda\u5f62\u4ee3\u6570\u2463\uff08\u884c\u5217\u306e\u56fa\u6709\u5024\u3068\u56fa\u6709\u30d9\u30af\u30c8\u30eb\uff09"},"content":{"rendered":"<p><br \/>\n\u3053\u3093\u306b\u3061\u306f\uff5e<\/p>\n<p>\u524d\u56de\u306e\u4e88\u544a\u901a\u308a\u3001\u4eca\u56de\u306f<span class=\"ymarker\">\u201c\u884c\u5217\u306e\u56fa\u6709\u5024\u3068\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u201d<\/span>\u306e\u6c42\u3081\u65b9\u306b\u3064\u3044\u3066\u8a18\u4e8b\u306b\u3057\u3066\u3044\u304d\u305f\u3044\u3068\u601d\u3044\u307e\u3059\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f\uff5e<\/p>\n<p>\u30b7\u30e5\u30ef\u30c3\u30c1\uff01<\/p>\n<hr \/>\n<p>&nbsp;<\/p>\n<p><strong>\u7b2c<\/strong>\uff14<strong>\u56de\uff1a\u3010\u9662\u8a66\u5bfe\u7b56\u3011\u7dda\u5f62\u4ee3\u6570\u2463\uff08\u884c\u5217\u306e\u56fa\u6709\u5024\u3068\u56fa\u6709\u30d9\u30af\u30c8\u30eb\uff09<\/strong><\/p>\n<p>\u7b2c4\u56de\u306f&#8221;\u884c\u5217\u306e\u56fa\u6709\u5024\u3068\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u201d\u306b\u3064\u3044\u3066\u3067\u3059\u3002<br \/>\n\u307e\u305a\u3001\u300c\u56fa\u6709\u5024\u3068\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u3068\u306f\u4f55\u305e\u3084\uff1f\u300d\u3068\u601d\u3044\u307e\u3059\u3088\u306d\uff01<\/p>\n<p>\u306a\u306e\u3067\u3001\u5b9a\u7fa9\u304b\u3089\u2193<\/p>\n<div class=\"yellowbox\">n\u6b21\u5143\u6b63\u65b9\u884c\u5217A\u306b\u3064\u3044\u3066<span class=\"hutoaka\" style=\"font-size: 120%;\">AX=\u03bbX<\/span>\u304c\u6210\u308a\u7acb\u3064\u6642\u3001n\u6b21\u5143\u5217\u30d9\u30af\u30c8\u30ebX\u3068\u5b9f\u6570\u03bb\u306e\u3053\u3068\u3092\u305d\u308c\u305e\u308c<span class=\"hutoaka\" style=\"font-size: 120%;\">\u56fa\u6709\u30d9\u30af\u30c8\u30eb<\/span>\uff0c<span class=\"hutoaka\" style=\"font-size: 120%;\">\u56fa\u6709\u5024<\/span>\u3068\u3044\u3044\u307e\u3059\u3002<\/div>\n<p>\u3053\u308c\u3060\u3051\u3067\u306f\u30a4\u30e1\u30fc\u30b8\u304c\u3064\u304d\u306b\u304f\u3044\u3068\u601d\u3046\u306e\u3067\u3001\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u306b\u3064\u3044\u3066\u306e\u8a73\u7d30\u3092\u2193<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-3335\" src=\"http:\/\/kogakubu.com\/wp-content\/uploads\/2019\/09\/6465f3f477e134bb1681d79f74c1c854.png\" alt=\"\" width=\"1130\" height=\"773\" srcset=\"https:\/\/kogakubu.com\/wp-content\/uploads\/2019\/09\/6465f3f477e134bb1681d79f74c1c854.png 1130w, https:\/\/kogakubu.com\/wp-content\/uploads\/2019\/09\/6465f3f477e134bb1681d79f74c1c854-300x205.png 300w, https:\/\/kogakubu.com\/wp-content\/uploads\/2019\/09\/6465f3f477e134bb1681d79f74c1c854-768x525.png 768w, https:\/\/kogakubu.com\/wp-content\/uploads\/2019\/09\/6465f3f477e134bb1681d79f74c1c854-1024x700.png 1024w\" sizes=\"auto, (max-width: 1130px) 100vw, 1130px\" \/><\/p>\n<p>\u666e\u901a\u3001\u30d9\u30af\u30c8\u30eb\u540c\u58eb\u3092\u639b\u3051\u305f\u3082\u306e\uff08AX\uff09\u306f\u30d9\u30af\u30c8\u30ebX\u3068\u306f\u9055\u3046\u65b9\u5411\u306b\u306a\u308b\u4e8b\u304c\u307b\u3068\u3093\u3069\u3002<br \/>\n\u305d\u306e\u4e2d\u3067\u3001\u30d9\u30af\u30c8\u30eb\u540c\u58eb\u306e\u639b\u3051\u7b97\u3092\u884c\u3063\u3066\u3082<span class=\"hutoaka\" style=\"font-size: 120%;\">\u5947\u8de1\u7684\u306b<\/span>\u30aa\u30ea\u30b8\u30ca\u30eb\u306e\u30d9\u30af\u30c8\u30ebX\u3068<span class=\"ymarker\">\u65b9\u5411\u304c\u4e00\u81f4\u3059\u308b\u30d9\u30af\u30c8\u30eb<\/span>\u304c\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u306a\u306e\u3067\u3059\uff01<\/p>\n<p>\u3069\u3046\u3067\u3059\uff1f\u306a\u3093\u304b\u3001\u7d20\u6575\u3058\u3083\u306a\u3044\u3067\u3059\u304b\uff08\u7b11\uff09<\/p>\n<p>\u5b9a\u7fa9\u3092\u8aac\u660e\u3057\u305f\u6240\u3067\u3001\u4f8b\u984c\u3092\u4f7f\u3063\u3066\u5b9f\u8df5\u6f14\u7fd2\u3092\u3057\u3066\u3044\u304d\u307e\u3057\u3087\u3046\uff01<\/p>\n<p>\uff1c\u4f8b\u984c\uff11\uff1e<br \/>\n\u4ee5\u4e0b\u306e\u884c\u5217A\u306e\u56fa\u6709\u5024\u3068\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u3092\u6c42\u3081\u3088\u3002<br \/>\n\\[<br \/>\nA = \\left(<br \/>\n\\begin{array}{ccc}<br \/>\n1 &amp; 2 &amp; 0 \\\\<br \/>\n2 &amp; 1 &amp; 0 \\\\<br \/>\n0 &amp; 0 &amp; 3<br \/>\n\\end{array}<br \/>\n\\right)<br \/>\n\\]<\/p>\n<p>\uff1c\u89e3\u6cd5\uff1e<br \/>\n\\begin{equation}<br \/>\nAX = \u03bbX\u3000\u3088\u308a\u3001\uff08A &#8211; \u03bbE\uff09X = 0<br \/>\n\\end{equation}<\/p>\n<p>\\[<br \/>\n\u3053\u3053\u3067\u3001T = A &#8211; \u03bbE = \\left(<br \/>\n\\begin{array}{ccc}<br \/>\n1 &amp; 2 &amp; 0 \\\\<br \/>\n2 &amp; 1 &amp; 0 \\\\<br \/>\n0 &amp; 0 &amp; 3<br \/>\n\\end{array}<br \/>\n\\right)<br \/>\n&#8211; \\left(<br \/>\n\\begin{array}{ccc}<br \/>\n\u03bb &amp; 0 &amp; 0 \\\\<br \/>\n0 &amp; \u03bb &amp; 0 \\\\<br \/>\n0 &amp; 0 &amp; \u03bb<br \/>\n\\end{array}<br \/>\n\\right)<br \/>\n\\]<\/p>\n<p>\\[<br \/>\n= \\left(<br \/>\n\\begin{array}{ccc}<br \/>\n1-\u03bb &amp; 2 &amp; 0 \\\\<br \/>\n2 &amp; 1-\u03bb &amp; 0 \\\\<br \/>\n0 &amp; 0 &amp; 3-\u03bb<br \/>\n\\end{array}<br \/>\n\\right)<br \/>\n\u3068\u304a\u304f\u3002<br \/>\n\\]<\/p>\n<p>\\begin{equation}<br \/>\n\u3059\u308b\u3068\u3001TX = 0\u30fb\u30fb\u30fb\u2460\u3067\u3042\u308a\u3001<br \/>\n\\end{equation}<\/p>\n<p>\\[<br \/>\n\\mathrm{det}T = |T| = \\left|<br \/>\n\\begin{array}{ccc}<br \/>\n1 &#8211; \u03bb &amp; 2 &amp; 0 \\\\<br \/>\n2 &amp; 1 &#8211; \u03bb &amp; 0 \\\\<br \/>\n0 &amp; 0 &amp; 3 &#8211; \u03bb<br \/>\n\\end{array}<br \/>\n\\right| = 0<br \/>\n\u3068\u306a\u308c\u3070\u3044\u3044\u3053\u3068\u304c\u308f\u304b\u308b\u3002<br \/>\n\\]<\/p>\n<p>\\begin{equation}<br \/>\n= (1 &#8211; \u03bb)^2 (3 &#8211; \u03bb) &#8211; 4 (3 &#8211; \u03bb)<br \/>\n\\end{equation}<\/p>\n<p>\\begin{equation}<br \/>\n= (1 &#8211; 2\u03bb + \u03bb^2)(3 &#8211; \u03bb) &#8211; 12 + 4\u03bb<br \/>\n\\end{equation}<\/p>\n<p>\\begin{equation}<br \/>\n= -\u03bb^3 + 5\u03bb^2 &#8211; 3\u03bb &#8211; 9 = 0<br \/>\n\\end{equation}<\/p>\n<p>\\begin{equation}<br \/>\n\u03bb^3 &#8211; 5\u03bb^2 + 3\u03bb + 9 = 0<br \/>\n\\end{equation}<\/p>\n<p>\\begin{equation}<br \/>\n(\u03bb + 1)(\u03bb^2 &#8211; 6\u03bb + 9) = 0<br \/>\n\\end{equation}<\/p>\n<p>\\begin{equation}<br \/>\n(\u03bb + 1)(\u03bb &#8211; 3)^2 = 0<br \/>\n\\end{equation}<\/p>\n<p>\\begin{equation}<br \/>\n\u3088\u3063\u3066\u3001\u56fa\u6709\u5024\u306f\u03bb = -1,3<br \/>\n\\end{equation}<\/p>\n<p>\u6b21\u306b\u305d\u308c\u305e\u308c\u306e\u56fa\u6709\u5024\u306b\u304a\u3051\u308b\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u3092\u6c42\u3081\u307e\u3059\u3002<br \/>\n\\begin{equation}<br \/>\n\u2170)\u03bb = -1\u306e\u6642\u3001\u2460\u3092T_{1}X_{1}=0,<br \/>\n\\end{equation}<br \/>\n\\[<br \/>\nX_{1}=\\left(<br \/>\n\\begin{array}{ccc}<br \/>\n\u03b1_{1} \\\\<br \/>\n\u03b1_{2} \\\\<br \/>\n\u03b1_{3}<br \/>\n\\end{array}<br \/>\n\\right)<br \/>\n\u3068\u3059\u308b\u3068\u3001<br \/>\n\\]<\/p>\n<p>\\[<br \/>\n\\left(<br \/>\n\\begin{array}{ccc}<br \/>\n2 &amp; 2 &amp; 0\\\\<br \/>\n2 &amp; 2 &amp; 0 \\\\<br \/>\n0 &amp; 0 &amp; 4<br \/>\n\\end{array}<br \/>\n\\right)<br \/>\n\\left(<br \/>\n\\begin{array}{ccc}<br \/>\n\u03b1_{1}\\\\<br \/>\n\u03b1_{2}\\\\<br \/>\n\u03b1_{3}<br \/>\n\\end{array}<br \/>\n\\right)<br \/>\n= \\left(<br \/>\n\\begin{array}{ccc}<br \/>\n0\\\\<br \/>\n0\\\\<br \/>\n0<br \/>\n\\end{array}<br \/>\n\\right)<br \/>\n\\]<\/p>\n<p>\\begin{eqnarray}<br \/>\n\\begin{cases}<br \/>\n2\u03b1_{1} + 2\u03b1_{2} = 0 &amp; \\\\<br \/>\n4\u03b1_{3} = 0<br \/>\n\\end{cases}<br \/>\n\\end{eqnarray}<\/p>\n<p>\\begin{equation}<br \/>\n\u03b1_{1}=k_{1}\u3068\u3059\u308b\u3068\u3001\u03b1_{2}=-k_{1}\u3088\u308a\u3001\u56fa\u6709\u30d9\u30af\u30c8\u30ebX_{1}\u306f<br \/>\n\\end{equation}<\/p>\n<p>\\[<br \/>\nX_{1}=k_{1}\\left(<br \/>\n\\begin{array}{ccc}<br \/>\n1 \\\\<br \/>\n-1 \\\\<br \/>\n0<br \/>\n\\end{array}<br \/>\n\\right)<br \/>\n\uff08k_{1}\\neq0\uff09<br \/>\n\\]<\/p>\n<p>\\begin{equation}<br \/>\n\u2171)\u03bb = 3\u306e\u6642\u3001\u2460\u3092T_{2}X_{2}=0,<br \/>\n\\end{equation}<br \/>\n\\[<br \/>\nX_{2}=\\left(<br \/>\n\\begin{array}{ccc}<br \/>\n\u03b1_{4} \\\\<br \/>\n\u03b1_{5} \\\\<br \/>\n\u03b1_{6}<br \/>\n\\end{array}<br \/>\n\\right)<br \/>\n\u3068\u3059\u308b\u3068\u3001<br \/>\n\\]<\/p>\n<p>\\[<br \/>\n\\left(<br \/>\n\\begin{array}{ccc}<br \/>\n-2 &amp; 2 &amp; 0\\\\<br \/>\n2 &amp; -2 &amp; 0 \\\\<br \/>\n0 &amp; 0 &amp; 0<br \/>\n\\end{array}<br \/>\n\\right)<br \/>\n\\left(<br \/>\n\\begin{array}{ccc}<br \/>\n\u03b1_{4}\\\\<br \/>\n\u03b1_{5}\\\\<br \/>\n\u03b1_{6}<br \/>\n\\end{array}<br \/>\n\\right)<br \/>\n= \\left(<br \/>\n\\begin{array}{ccc}<br \/>\n0\\\\<br \/>\n0\\\\<br \/>\n0<br \/>\n\\end{array}<br \/>\n\\right)<br \/>\n\\]<\/p>\n<p>\\begin{eqnarray}<br \/>\n\\begin{cases}<br \/>\n-2\u03b1_{4} &#8211; 2\u03b1_{5} = 0 &amp; \\\\<br \/>\n\u03b1_{6} = k_{3}<br \/>\n\\end{cases}<br \/>\n\\end{eqnarray}<\/p>\n<p>\\begin{equation}<br \/>\n\u03b1_{4}=k_{2}\u3068\u3059\u308b\u3068\u3001\u03b1_{5}=-k_{2}\u3088\u308a\u3001\u56fa\u6709\u30d9\u30af\u30c8\u30ebX_{2}\u306f<br \/>\n\\end{equation}<\/p>\n<p>\\[<br \/>\nX_{2}=k_{2}\\left(<br \/>\n\\begin{array}{ccc}<br \/>\n1 \\\\<br \/>\n-1 \\\\<br \/>\n0<br \/>\n\\end{array}<br \/>\n\\right)<br \/>\n+k_{3}\\left(<br \/>\n\\begin{array}{ccc}<br \/>\n0 \\\\<br \/>\n0 \\\\<br \/>\n1<br \/>\n\\end{array}<br \/>\n\\right)<br \/>\n\uff08k_{2},k_{3}\\neq0\uff09<br \/>\n\\]<\/p>\n<p>\\begin{equation}<br \/>\n\uff0a\u3061\u306a\u307f\u306b\u03bb\u304c\u91cd\u89e3\u3067\u3042\u308b\u56fa\u6709\u30d9\u30af\u30c8\u30ebX_{2}\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5206\u3051\u308b\u3053\u3068\u304c\u51fa\u6765\u3001\u4e92\u3044\u306b\u7dda\u5f62\u72ec\u7acb\u3067\u3059\u3002<br \/>\n\\end{equation}<\/p>\n<p>\\[<br \/>\nX_{2}&#8217;=k_{2}\\left(<br \/>\n\\begin{array}{ccc}<br \/>\n1 \\\\<br \/>\n-1 \\\\<br \/>\n0<br \/>\n\\end{array}<br \/>\n\\right)<br \/>\n,X_{2}&#8221;=k_{3}\\left(<br \/>\n\\begin{array}{ccc}<br \/>\n0 \\\\<br \/>\n0 \\\\<br \/>\n1<br \/>\n\\end{array}<br \/>\n\\right)<br \/>\n\\]<\/p>\n<hr \/>\n<p>&nbsp;<\/p>\n<p>\u3044\u304b\u304c\u3067\u3057\u305f\u3067\u3057\u3087\u3046\u304b\uff1f<\/p>\n<p>\u3053\u306e\u6570\u5f0f\u3092\u66f8\u304f\u306e\u304c\u4e2d\u3005\u6642\u9593\u304c\u304b\u304b\u308b\u306e\u3067\uff11\u554f\u3057\u304b\u7d39\u4ecb\u3067\u304d\u307e\u305b\u3093\u3067\u3057\u305f\u304c\u3001\u4e0a\u306e\u4f8b\u984c\u3067\u793a\u3057\u305f\u89e3\u6cd5\u304c\u884c\u5217\u306e\u56fa\u6709\u5024\u3068\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u306e\u57fa\u672c\u7684\u306a\u6c42\u3081\u65b9\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f\u3001\u6b21\u56de\u306f\u4eca\u56de\u5c0e\u3044\u305f\u56fa\u6709\u5024\u3068\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u3092\u7528\u3044\u308c\u3070<span 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