{"id":9821,"date":"2025-11-19T19:02:53","date_gmt":"2025-11-19T10:02:53","guid":{"rendered":"https:\/\/lanqiu.aboutphlaw.com\/?p=9821"},"modified":"2025-11-19T19:02:53","modified_gmt":"2025-11-19T10:02:53","slug":"understanding-adjoint-matrix-3x3-calculation-methods","status":"publish","type":"post","link":"https:\/\/lanqiu.aboutphlaw.com\/3x3\/understanding-adjoint-matrix-3x3-calculation-methods","title":{"rendered":"\u884c\u5217\u306e\u526f\u884c\u5217\u306e\u8a08\u7b97\u65b9\u6cd5cara adjoint matrix 3×3\u306e\u7406\u89e3\u3068\u5fdc\u7528"},"content":{"rendered":"

\u884c\u5217\u306e\u526f\u884c\u5217\u3068\u306f\u4f55\u304b<\/h4>\n

\u884c\u5217\u306e\u526f\u884c\u5217\u3068\u306f\u3001\u3042\u308b\u884c\u5217\u306e\u7279\u5b9a\u306e\u8981\u7d20\u3092\u9664\u3044\u305f\u5c0f\u884c\u5217\u306e\u3053\u3068\u3092\u6307\u3057\u307e\u3059\u3002\u7279\u306b3×3\u884c\u5217\u306b\u304a\u3044\u3066\u306f\u3001\u5404\u8981\u7d20\u3092\u57fa\u6e96\u3068\u3057\u3001\u305d\u306e\u8981\u7d20\u304c\u5b58\u5728\u3059\u308b\u884c\u3068\u5217\u3092\u9664\u3044\u3066\u5f62\u6210\u3055\u308c\u308b\u5c0f\u884c\u5217\u304b\u3089\u8a08\u7b97\u3055\u308c\u308b\u3082\u306e\u3067\u3059\u3002\u526f\u884c\u5217\u306f\u3001\u884c\u5217\u306e\u884c\u5217\u5f0f\u3092\u8a08\u7b97\u3059\u308b\u969b\u306b\u5fc5\u8981\u306a\u8981\u7d20\u3067\u3042\u308a\u3001\u884c\u5217\u306e\u7279\u6027\u3092\u7406\u89e3\u3059\u308b\u4e0a\u3067\u91cd\u8981\u306a\u5f79\u5272\u3092\u679c\u305f\u3057\u3066\u3044\u307e\u3059\u3002\u3053\u306e\u526f\u884c\u5217\u306f\u3001\u884c\u5217\u306e\u9006\u884c\u5217\u3084\u56fa\u6709\u5024\u306e\u8a08\u7b97\u306a\u3069\u3001\u7dda\u5f62\u4ee3\u6570\u306e\u3055\u307e\u3056\u307e\u306a\u5fdc\u7528\u306b\u5229\u7528\u3055\u308c\u307e\u3059\u3002<\/p>\n

\u526f\u884c\u5217\u306e\u8a08\u7b97\u65b9\u6cd5<\/h4>\n

3×3\u884c\u5217\u306e\u526f\u884c\u5217\u3092\u8a08\u7b97\u3059\u308b\u305f\u3081\u306b\u306f\u3001\u307e\u305a\u5bfe\u8c61\u3068\u306a\u308b\u884c\u5217\u3092\u5b9a\u7fa9\u3057\u307e\u3059\u3002\u4f8b\u3048\u3070\u3001\u884c\u5217A\u304c\u6b21\u306e\u3088\u3046\u306b\u8868\u3055\u308c\u308b\u3068\u3057\u307e\u3059\u3002<\/p>\n

A =
\n\\[\\beginpmatrix a_11 & a_12 & a_13 \\\\ a_21 & a_22 & a_23 \\\\ a_31 & a_32 & a_33 \\endpmatrix\\]<\/p>\n

\u3053\u306e\u5834\u5408\u3001a_ij\u306e\u8981\u7d20\u3092\u9078\u629e\u3057\u3001\u305d\u306e\u8981\u7d20\u304c\u542b\u307e\u308c\u3066\u3044\u308b\u884c\u3068\u5217\u3092\u524a\u9664\u3057\u3066\u6b8b\u308a\u306e\u8981\u7d20\u304b\u30893\u3064\u306e\u5c0f\u884c\u5217\u3092\u751f\u6210\u3057\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u3001a_11\u306b\u5bfe\u3059\u308b\u526f\u884c\u5217\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n

\\[\\beginpmatrix a_22 & a_23 \\\\ a_32 & a_33 \\endpmatrix\\]<\/p>\n

\u3053\u306e\u8981\u9818\u3067\u3001\u3059\u3079\u3066\u306e\u8981\u7d20\u304b\u3089\u5bfe\u5fdc\u3059\u308b\u526f\u884c\u5217\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n

cara adjoint matrix 3×3\u306e\u8a08\u7b97\u65b9\u6cd5<\/h4>\n

\u6b21\u306b\u3001\u526f\u884c\u5217\u3092\u7528\u3044\u3066\u884c\u5217\u306e\u4f59\u56e0\u5b50\u3092\u8a08\u7b97\u3057\u3001\u305d\u308c\u3092\u4f7f\u3063\u3066\u884c\u5217\u306e\u968f\u4f34\u884c\u5217\uff08adjoint matrix\uff09\u3092\u6c42\u3081\u308b\u65b9\u6cd5\u3092\u898b\u3066\u3044\u304d\u307e\u3059\u30023×3\u884c\u5217\u306b\u304a\u3051\u308b\u968f\u4f34\u884c\u5217\u306f\u3001\u5404\u8981\u7d20\u306e\u4f59\u56e0\u5b50\u306e\u8ee2\u7f6e\u884c\u5217\u3068\u3057\u3066\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002\u4f59\u56e0\u5b50C_ij\u306f\u3001i\u884cj\u5217\u306e\u5143\u306b\u5bfe\u3059\u308b\u526f\u884c\u5217\u306e\u884c\u5217\u5f0f\u306b\u3001(-1)^i+j\u3092\u639b\u3051\u305f\u3082\u306e\u3067\u3059\u3002\u3053\u306e\u904e\u7a0b\u3092\u901a\u3058\u3066\u5f97\u3089\u308c\u308b\u884c\u5217\u304c\u968f\u4f34\u884c\u5217\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n

\u884c\u5217\u306e\u9006\u884c\u5217\u306e\u8a08\u7b97\u3078\u306e\u5fdc\u7528<\/h4>\n

\u884c\u5217\u306e\u968f\u4f34\u884c\u5217\u3092\u6c42\u3081\u305f\u5f8c\u3001\u9006\u884c\u5217\u306e\u8a08\u7b97\u306b\u5229\u7528\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u30023×3\u306e\u884c\u5217\u306e\u9006\u884c\u5217\u3092\u6c42\u3081\u308b\u5f0f\u306f\u6b21\u306e\u901a\u308a\u3067\u3001\u884c\u5217A\u306e\u9006\u884c\u5217A^-1\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8868\u3055\u308c\u307e\u3059\u3002<\/p>\n

A^-1 = \\frac1\\det(A) \\cdot \\textadj(A)<\/p>\n

\u3053\u3053\u3067\u3001\\det(A)\u306f\u884c\u5217A\u306e\u884c\u5217\u5f0f\u3001adj(A)\u306f\u884c\u5217A\u306e\u968f\u4f34\u884c\u5217\u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u307e\u305a\u884c\u5217\u5f0f\u3092\u6c42\u3081\u3001\u6b21\u306b\u968f\u4f34\u884c\u5217\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u3067\u3001\u9006\u884c\u5217\u3092\u5c0e\u51fa\u3059\u308b\u3053\u3068\u304c\u53ef\u80fd\u3067\u3059\u3002\u3053\u306e\u30d7\u30ed\u30bb\u30b9\u306f\u30013×3\u884c\u5217\u306e\u53d6\u308a\u6271\u3044\u306b\u304a\u3044\u3066\u975e\u5e38\u306b\u4fbf\u5229\u3067\u3059\u3002<\/p>\n

\u7dda\u5f62\u4ee3\u6570\u306b\u304a\u3051\u308b\u91cd\u8981\u6027<\/h4>\n

\u884c\u5217\u306e\u526f\u884c\u5217\u3084\u968f\u4f34\u884c\u5217\u306e\u8a08\u7b97\u306f\u3001\u7dda\u5f62\u4ee3\u6570\u306e\u57fa\u790e\u306b\u304a\u3044\u3066\u6b20\u304b\u305b\u306a\u3044\u8981\u7d20\u3067\u3042\u308a\u3001\u3055\u307e\u3056\u307e\u306a\u6570\u7406\u7684\u554f\u984c\u3092\u89e3\u6c7a\u3059\u308b\u305f\u3081\u306e\u5f37\u529b\u306a\u30c4\u30fc\u30eb\u3067\u3059\u3002\u3053\u308c\u3089\u306e\u8a08\u7b97\u3092\u30de\u30b9\u30bf\u30fc\u3059\u308b\u3053\u3068\u3067\u3001\u884c\u5217\u306e\u7279\u6027\u3092\u6df1\u304f\u7406\u89e3\u3057\u3001\u5b9f\u969b\u306e\u554f\u984c\u306b\u5fdc\u7528\u3059\u308b\u969b\u306b\u5f79\u7acb\u3066\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u7279\u306b\u3001\u7269\u7406\u5b66\u3001\u5de5\u5b66\u3001\u30c7\u30fc\u30bf\u89e3\u6790\u306e\u5206\u91ce\u3067\u306f\u3001\u884c\u5217\u306e\u6271\u3044\u306b\u7cbe\u901a\u3057\u3066\u3044\u308b\u3053\u3068\u304c\u91cd\u8981\u3067\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"

\u30bf\u30a4\u30c8\u30eb\u884c\u5217\u306e\u526f\u884c\u5217\u306e\u8a08\u7b97\u65b9\u6cd5cara adjoint matrix 3×3\u306e\u7406\u89e3\u3068\u5fdc\u7528<\/p>\n","protected":false},"author":1,"featured_media":1043,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6],"tags":[6789,11652,7468],"class_list":["post-9821","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-3x3","tag-3x3","tag-11652","tag-7468"],"yoast_head":"\n\u884c\u5217\u306e\u526f\u884c\u5217\u306e\u8a08\u7b97\u65b9\u6cd5cara adjoint matrix 3x3\u306e\u7406\u89e3\u3068\u5fdc\u7528 - \u6700\u65b0\u30b9\u30dd\u30fc\u30c4\u30cb\u30e5\u30fc\u30b9 -\u30d0\u30b9\u30b1\u30c3\u30c8\u30dc\u30fc\u30eb\u306e\u30cb\u30e5\u30fc\u30b9- \u30b9\u30dd\u30fc\u30c4\u30a4\u30d9\u30f3\u30c8\u30cb\u30e5\u30fc\u30b9\u30b5\u30a4\u30c8-CSPORTS.JP<\/title>\n<meta name=\"description\" content=\"\u30bf\u30a4\u30c8\u30eb\u884c\u5217\u306e\u526f\u884c\u5217\u306e\u8a08\u7b97\u65b9\u6cd5cara adjoint matrix 3x3\u306e\u7406\u89e3\u3068\u5fdc\u7528\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/lanqiu.aboutphlaw.com\/3x3\/understanding-adjoint-matrix-3x3-calculation-methods\" \/>\n<meta property=\"og:locale\" content=\"ja_JP\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u884c\u5217\u306e\u526f\u884c\u5217\u306e\u8a08\u7b97\u65b9\u6cd5cara adjoint matrix 3x3\u306e\u7406\u89e3\u3068\u5fdc\u7528 - \u6700\u65b0\u30b9\u30dd\u30fc\u30c4\u30cb\u30e5\u30fc\u30b9 -\u30d0\u30b9\u30b1\u30c3\u30c8\u30dc\u30fc\u30eb\u306e\u30cb\u30e5\u30fc\u30b9- \u30b9\u30dd\u30fc\u30c4\u30a4\u30d9\u30f3\u30c8\u30cb\u30e5\u30fc\u30b9\u30b5\u30a4\u30c8-CSPORTS.JP\" \/>\n<meta property=\"og:description\" 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