{"id":17359,"date":"2026-05-06T20:02:21","date_gmt":"2026-05-06T11:02:21","guid":{"rendered":"https:\/\/lanqiu.aboutphlaw.com\/?p=17359"},"modified":"2026-05-06T20:02:21","modified_gmt":"2026-05-06T11:02:21","slug":"3x3-matrix-inverse-calculation-methods-and-applications-3","status":"publish","type":"post","link":"https:\/\/lanqiu.aboutphlaw.com\/3x3\/3x3-matrix-inverse-calculation-methods-and-applications-3","title":{"rendered":"3×3\u884c\u5217\u306e\u9006\u884c\u5217\u306e\u8a08\u7b97\u65b9\u6cd5\u3068\u305d\u306e\u5fdc\u7528\u306b\u3064\u3044\u3066\u306e\u6700\u65b0\u60c5\u5831"},"content":{"rendered":"

3×3\u884c\u5217\u306e\u9006\u884c\u5217\u306e\u5b9a\u7fa9<\/h4>\n

3×3\u884c\u5217\u306e\u9006\u884c\u5217\u3068\u306f\u3001\u7279\u5b9a\u306e\u6761\u4ef6\u3092\u6e80\u305f\u3059\u5834\u5408\u306b\u3001\u305d\u306e\u884c\u5217\u3068\u639b\u3051\u7b97\u3092\u884c\u3046\u3053\u3068\u3067\u5358\u4f4d\u884c\u5217\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u884c\u5217\u306e\u3053\u3068\u3092\u6307\u3057\u307e\u3059\u3002\u884c\u5217A\u306e\u9006\u884c\u5217\u306f\u3001\u4e00\u822c\u7684\u306bA\u207b\u00b9\u3068\u8868\u8a18\u3055\u308c\u307e\u3059\u3002\u4f8b\u3048\u3070\u3001\u884c\u5217A\u304c\u6b21\u306e\u5f62\u3092\u3057\u3066\u3044\u308b\u3068\u3057\u307e\u3057\u3087\u3046<\/p>\n

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

\u884c\u5217A\u304c\u9006\u884c\u5217\u3092\u6301\u3064\u305f\u3081\u306b\u306f\u3001\u884c\u5217\u306e\u884c\u5217\u5f0f\uff08determinant\uff09\u304c0\u3067\u306a\u3044\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u884c\u5217\u306e\u884c\u5217\u5f0f\u306f\u8a08\u7b97\u3057\u3084\u3059\u304f\u3001\u6b21\u306e\u3088\u3046\u306b\u6c42\u3081\u3089\u308c\u307e\u3059<\/p>\n

|A| = a_11(a_22a_33 – a_23a_32) – a_12(a_21a_33 – a_23a_31) + a_13(a_21a_32 – a_22a_31)<\/p>\n<\/p>\n

\u3053\u306e\u5024\u304c0\u3067\u306a\u3044\u5834\u5408\u3001A\u306e\u9006\u884c\u5217\u304c\u5b58\u5728\u3059\u308b\u3053\u3068\u304c\u4fdd\u8a3c\u3055\u308c\u307e\u3059\u3002<\/p>\n

3×3\u884c\u5217\u306e\u9006\u884c\u5217\u306e\u8a08\u7b97\u65b9\u6cd5<\/h4>\n

3×3\u884c\u5217\u306e\u9006\u884c\u5217\u3092\u8a08\u7b97\u3059\u308b\u305f\u3081\u306e\u5177\u4f53\u7684\u306a\u624b\u9806\u306f\u3001\u4ee5\u4e0b\u306e\u901a\u308a\u3067\u3059\u3002\u307e\u305a\u3001\u884c\u5217A\u306e\u884c\u5217\u5f0f\u3092\u6c42\u3081\u3001\u6b21\u306b\u884c\u5217\u306e\u30b3\u30d5\u30a1\u30af\u30bf\u30fc\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002\u30b3\u30d5\u30a1\u30af\u30bf\u30fc\u884c\u5217\u3092\u6c42\u3081\u308b\u3053\u3068\u3067\u3001\u305d\u306e\u8ee2\u7f6e\u884c\u5217\u3092\u6301\u3064\u3053\u3068\u304c\u3067\u304d\u3001\u6700\u7d42\u7684\u306b\u9006\u884c\u5217\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u5177\u4f53\u7684\u306a\u30b9\u30c6\u30c3\u30d7\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059<\/p>\n

    \n
  1. \u884c\u5217\u306e\u884c\u5217\u5f0f\u3092\u8a08\u7b97\u3059\u308b\u3002<\/li>\n
  2. \u5404\u8981\u7d20\u306e\u30b3\u30d5\u30a1\u30af\u30bf\u30fc\u3092\u8a08\u7b97\u3059\u308b\u3002<\/li>\n
  3. \u30b3\u30d5\u30a1\u30af\u30bf\u30fc\u884c\u5217\u306e\u8ee2\u7f6e\u3092\u53d6\u308b\uff08\u30a2\u30c9\u30b8\u30e7\u30a4\u30f3\u30c8\u884c\u5217\uff09\u3002<\/li>\n
  4. \u884c\u5217A\u306e\u884c\u5217\u5f0f\u3067\u30a2\u30c9\u30b8\u30e7\u30a4\u30f3\u30c8\u884c\u5217\u3092\u5272\u308b\u3053\u3068\u3067\u9006\u884c\u5217\u3092\u5f97\u308b\u3002<\/li>\n<\/ol>\n

    \u8a08\u7b97\u4f8b\u3068\u3057\u3066\u3001\u5177\u4f53\u7684\u306a\u6570\u5024\u3092\u6301\u30643×3\u884c\u5217\u3092\u7528\u3044\u308b\u3053\u3068\u3067\u3001\u9006\u884c\u5217\u306e\u8a08\u7b97\u304c\u3088\u308a\u660e\u78ba\u306b\u306a\u308a\u307e\u3059\u3002\u4f8b\u3048\u3070\u3001\u6570\u5024\u3092\u4ee3\u5165\u3059\u308b\u3053\u3068\u3067\u3001\u9006\u884c\u5217\u306e\u7d50\u679c\u3092\u5b9f\u969b\u306b\u78ba\u8a8d\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3053\u306e\u3088\u3046\u306b\u3057\u3066\u5f97\u305f\u9006\u884c\u5217\u306f\u3001\u3055\u307e\u3056\u307e\u306a\u6570\u7406\u30e2\u30c7\u30eb\u3084\u30c7\u30fc\u30bf\u5206\u6790\u306e\u5834\u9762\u3067\u975e\u5e38\u306b\u91cd\u8981\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n

    3×3\u884c\u5217\u306e\u9006\u884c\u5217\u306e\u5fdc\u7528<\/h4>\n

    3×3\u884c\u5217\u306e\u9006\u884c\u5217\u306f\u591a\u304f\u306e\u79d1\u5b66\u6280\u8853\u5206\u91ce\u3067\u306e\u5fdc\u7528\u304c\u3042\u308a\u307e\u3059\u3002\u7279\u306b\u3001\u7269\u7406\u5b66\u3084\u30a8\u30f3\u30b8\u30cb\u30a2\u30ea\u30f3\u30b0\u306e\u5206\u91ce\u3067\u306f\u3001\u30b7\u30b9\u30c6\u30e0\u306e\u72b6\u614b\u3092\u30e2\u30c7\u30eb\u5316\u3059\u308b\u969b\u306b\u884c\u5217\u3092\u7528\u3044\u308b\u3053\u3068\u304c\u4e00\u822c\u7684\u3067\u3059\u3002\u4f8b\u3048\u3070\u3001\u71b1\u4f1d\u5c0e\u3001\u6d41\u4f53\u529b\u5b66\u3001\u96fb\u6c17\u56de\u8def\u306e\u89e3\u6790\u306a\u3069\u306e\u554f\u984c\u306b\u304a\u3044\u3066\u3001\u884c\u5217\u8a08\u7b97\u306f\u975e\u5e38\u306b\u91cd\u8981\u306a\u5f79\u5272\u3092\u679c\u305f\u3057\u307e\u3059\u3002<\/p>\n

    \u307e\u305f\u3001\u7d4c\u6e08\u5b66\u3084\u30c7\u30fc\u30bf\u30b5\u30a4\u30a8\u30f3\u30b9\u306e\u9818\u57df\u3067\u3082\u3001\u9006\u884c\u5217\u306e\u8a08\u7b97\u304c\u983b\u7e41\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002\u7279\u306b\u3001\u7d71\u8a08\u89e3\u6790\u306b\u304a\u3044\u3066\u306f\u3001\u56de\u5e30\u5206\u6790\u3084\u6700\u5c0f\u4e8c\u4e57\u6cd5\u306b\u304a\u3044\u3066\u3001\u884c\u5217\u306e\u9006\u884c\u5217\u304c\u4e0d\u53ef\u6b20\u3067\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u30c7\u30fc\u30bf\u304b\u3089\u6709\u610f\u7fa9\u306a\u60c5\u5831\u3092\u62bd\u51fa\u3057\u3001\u610f\u601d\u6c7a\u5b9a\u3092\u30b5\u30dd\u30fc\u30c8\u3059\u308b\u3053\u3068\u304c\u53ef\u80fd\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n

    \u6559\u80b2\u306b\u304a\u3051\u308b3×3\u884c\u5217\u306e\u9006\u884c\u5217\u306e\u91cd\u8981\u6027<\/h4>\n

    3×3\u884c\u5217\u306e\u9006\u884c\u5217\u306e\u7406\u89e3\u306f\u3001\u9ad8\u6821\u3084\u5927\u5b66\u306e\u6570\u5b66\u6559\u80b2\u306b\u304a\u3044\u3066\u91cd\u8981\u306a\u8981\u7d20\u3067\u3059\u3002\u884c\u5217\u306e\u6982\u5ff5\u3084\u884c\u5217\u8a08\u7b97\u306e\u6280\u8853\u306f\u3001\u73fe\u4ee3\u306e\u6570\u5b66\u30fb\u79d1\u5b66\u6559\u80b2\u306e\u57fa\u76e4\u3068\u306a\u308b\u305f\u3081\u3001\u5b66\u751f\u306b\u3068\u3063\u3066\u5fc5\u9808\u306e\u77e5\u8b58\u3067\u3059\u3002\u7279\u306b\u3001\u5de5\u7a0b\u7ba1\u7406\u3084\u7d4c\u6e08\u5b66\u3001 physics forces \u306a\u3069\u3067\u884c\u5217\u8a08\u7b97\u306e\u6280\u8853\u304c\u6c42\u3081\u3089\u308c\u308b\u305f\u3081\u3001\u9006\u884c\u5217\u306e\u8a08\u7b97\u65b9\u6cd5\u3092\u3057\u3063\u304b\u308a\u3068\u6559\u6388\u3059\u308b\u3053\u3068\u304c\u671f\u5f85\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n

    \u307e\u305f\u3001\u884c\u5217\u306e\u9006\u884c\u5217\u306b\u95a2\u3059\u308b\u6559\u80b2\u306f\u3001\u5b66\u751f\u304c\u62bd\u8c61\u7684\u306a\u601d\u8003\u3092\u990a\u3046\u4e0a\u3067\u3082\u91cd\u8981\u3067\u3059\u3002\u6570\u5b66\u7684\u306a\u554f\u984c\u89e3\u6c7a\u80fd\u529b\u3092\u9ad8\u3081\u308b\u305f\u3081\u306b\u306f\u3001\u884c\u5217\u8a08\u7b97\u3092\u901a\u3058\u3066\u7406\u8ad6\u3068\u5b9f\u8df5\u3092\u7d50\u3073\u3064\u3051\u308b\u5f79\u5272\u304c\u6c42\u3081\u3089\u308c\u307e\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u5b66\u751f\u306f\u5b9f\u4e16\u754c\u306e\u554f\u984c\u306b\u5bfe\u3057\u3066\u6570\u5b66\u3092\u5fdc\u7528\u3059\u308b\u529b\u3092\u80b2\u3080\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n

    \u4eca\u5f8c\u306e\u5c55\u671b\u3068\u7d50\u8ad6<\/h4>\n

    3×3\u884c\u5217\u306e\u9006\u884c\u5217\u306b\u3064\u3044\u3066\u306e\u7406\u89e3\u306f\u3001\u4eca\u5f8c\u3082\u69d8\u3005\u306a\u5206\u91ce\u3067\u306e\u767a\u5c55\u3068\u5171\u306b\u91cd\u8981\u306a\u30c6\u30fc\u30de\u3067\u3042\u308a\u7d9a\u3051\u308b\u3067\u3057\u3087\u3046\u3002\u7279\u306b\u3001\u4eba\u5de5\u77e5\u80fd\u3084\u30d3\u30c3\u30b0\u30c7\u30fc\u30bf\u306a\u3069\u306e\u9032\u5c55\u306b\u3088\u308a\u3001\u884c\u5217\u8a08\u7b97\u306e\u9700\u8981\u306f\u5897\u52a0\u3057\u3066\u3044\u307e\u3059\u3002\u30c7\u30fc\u30bf\u89e3\u6790\u3084\u6570\u7406\u30e2\u30c7\u30ea\u30f3\u30b0\u306b\u304a\u3044\u3066\u9006\u884c\u5217\u306e\u5f79\u5272\u306f\u307e\u3059\u307e\u3059\u91cd\u8981\u3068\u306a\u308a\u3001\u6559\u80b2\u73fe\u5834\u3067\u3082\u305d\u306e\u5fc5\u8981\u6027\u304c\u9ad8\u307e\u308b\u3053\u3068\u3067\u3057\u3087\u3046\u3002<\/p>\n

    \u3057\u305f\u304c\u3063\u3066\u30013×3\u884c\u5217\u306e\u9006\u884c\u5217\u306b\u3064\u3044\u3066\u7fd2\u5f97\u3059\u308b\u3053\u3068\u306f\u3001\u6570\u5b66\u6559\u80b2\u306b\u304a\u3051\u308b\u91cd\u8981\u306a\u4e00\u90e8\u3092\u5f62\u6210\u3057\u3001\u672a\u6765\u306e\u6280\u8853\u8005\u3084\u79d1\u5b66\u8005\u3092\u80b2\u3066\u308b\u305f\u3081\u306b\u3082\u6b20\u304b\u305b\u306a\u3044\u8981\u7d20\u3067\u3059\u3002\u5b9f\u969b\u306b\u884c\u5217\u8a08\u7b97\u3092\u884c\u3046\u3053\u3068\u3067\u3001\u5b66\u751f\u305f\u3061\u306f\u7406\u8ad6\u7684\u306a\u77e5\u8b58\u3060\u3051\u3067\u306a\u304f\u3001\u5b9f\u8df5\u7684\u306a\u30b9\u30ad\u30eb\u3082\u7fd2\u5f97\u3057\u3001\u793e\u4f1a\u3067\u306e\u6d3b\u8e8d\u306b\u7e4b\u304c\u308b\u3068\u671f\u5f85\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"

    \u30bf\u30a4\u30c8\u30eb3×3\u884c\u5217\u306e\u9006\u884c\u5217\u306e\u8a08\u7b97\u65b9\u6cd5\u3068\u305d\u306e\u5fdc\u7528\u306b\u3064\u3044\u3066\u306e\u6700\u65b0\u60c5\u5831<\/p>\n","protected":false},"author":1,"featured_media":1079,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6],"tags":[5266,16247,6796],"class_list":["post-17359","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-3x3","tag-3x3","tag-16247","tag-6796"],"yoast_head":"\n3x3\u884c\u5217\u306e\u9006\u884c\u5217\u306e\u8a08\u7b97\u65b9\u6cd5\u3068\u305d\u306e\u5fdc\u7528\u306b\u3064\u3044\u3066\u306e\u6700\u65b0\u60c5\u5831 - \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 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