{"id":3769,"date":"2025-10-31T11:04:16","date_gmt":"2025-10-31T02:04:16","guid":{"rendered":"https:\/\/lanqiu.aboutphlaw.com\/?p=3769"},"modified":"2025-10-31T11:04:16","modified_gmt":"2025-10-31T02:04:16","slug":"3x3-matrix-inverse-calculation-methods-and-applications","status":"publish","type":"post","link":"https:\/\/lanqiu.aboutphlaw.com\/3x3\/3x3-matrix-inverse-calculation-methods-and-applications","title":{"rendered":"3&#215;3\u884c\u5217\u5f0f\u306e\u9006\u884c\u5217\u306e\u8a08\u7b97\u65b9\u6cd5\u3068\u305d\u306e\u5fdc\u7528\u306b\u3064\u3044\u3066\u89e3\u8aac"},"content":{"rendered":"<h4>1. 3&#215;3\u884c\u5217\u5f0f\u306e\u9006\u884c\u5217\u306e\u5b9a\u7fa9<\/h4>\n<p>3&#215;3\u884c\u5217\u306e\u9006\u884c\u5217\u3068\u306f\u3001\u4e0e\u3048\u3089\u308c\u305f3&#215;3\u306e\u884c\u5217A\u3068\u305d\u306e\u9006\u884c\u5217A^(-1)\u304c\u6e80\u305f\u3059\u95a2\u4fc2\u5f0fA * A^(-1) = I\u306e\u3053\u3068\u3092\u6307\u3057\u307e\u3059\u3002\u3053\u3053\u3067I\u306f\u5358\u4f4d\u884c\u5217\u3067\u3042\u308a\u3001\u3059\u3079\u3066\u306e\u5bfe\u89d2\u6210\u5206\u304c1\u3001\u305d\u308c\u4ee5\u5916\u304c0\u306e\u884c\u5217\u3067\u3059\u3002\u9006\u884c\u5217\u306e\u5b58\u5728\u6761\u4ef6\u306f\u3001\u884c\u5217A\u306e\u884c\u5217\u5f0f\uff08det A\uff09\u304c\u30bc\u30ed\u3067\u306a\u3044\u3053\u3068\u3067\u3059\u3002\u884c\u5217\u5f0f\u304c\u30bc\u30ed\u306e\u5834\u5408\u3001\u3053\u306e\u884c\u5217\u306f\u7279\u7570\u3067\u3042\u308a\u3001\u9006\u884c\u5217\u306f\u5b9a\u7fa9\u3055\u308c\u307e\u305b\u3093\u3002\u9006\u884c\u5217\u3092\u6c42\u3081\u308b\u65b9\u6cd5\u306f\u3001\u884c\u5217\u5f0f\u3092\u4f7f\u7528\u3057\u305f\u516c\u5f0f\u3084\u3001\u884c\u5217\u306e\u7279\u5fb4\u3092\u5229\u7528\u3057\u305f\u624b\u6cd5\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<h4>2. 3&#215;3\u884c\u5217\u306e\u9006\u884c\u5217\u306e\u8a08\u7b97\u65b9\u6cd5<\/h4>\n<p>3&#215;3\u884c\u5217A\u306e\u9006\u884c\u5217\u3092\u8a08\u7b97\u3059\u308b\u305f\u3081\u306e\u4e00\u822c\u7684\u306a\u65b9\u6cd5\u306f\u3001\u884c\u5217\u5f0f\u3068\u4f59\u56e0\u5b50\u884c\u5217\u3092\u7528\u3044\u308b\u65b9\u6cd5\u3067\u3059\u3002\u307e\u305a\u3001\u884c\u5217A\u306e\u884c\u5217\u5f0fdet A\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002\u6b21\u306b\u3001\u884c\u5217A\u306e\u5404\u8981\u7d20\u304b\u3089\u4f59\u56e0\u5b50\u3092\u8a08\u7b97\u3057\u3066\u4f59\u56e0\u5b50\u884c\u5217C\u3092\u4eee\u5b9a\u3057\u307e\u3059\u3002\u4f59\u56e0\u5b50\u884c\u5217\u3092\u8ee2\u7f6e\u3057\u305f\u3082\u306e\u3092A^C\u3068\u547c\u3073\u307e\u3059\u3002\u6700\u5f8c\u306b\u3001\u9006\u884c\u5217\u306f\u6b21\u306e\u5f0f\u3067\u8868\u3055\u308c\u307e\u3059A^(-1) = (1\/det A) * A^C\u3002\u3053\u306e\u8a08\u7b97\u30d7\u30ed\u30bb\u30b9\u306f\u3001\u624b\u9806\u3092\u7406\u89e3\u3059\u308b\u3053\u3068\u3067\u9006\u884c\u5217\u3092\u6c42\u3081\u308b\u4e00\u3064\u306e\u65b9\u6cd5\u3067\u3059\u3002<\/p>\n<h4>3. \u9006\u884c\u5217\u306e\u5177\u4f53\u4f8b<\/h4>\n<p>\u4f8b\u3048\u3070\u3001\u6b21\u306e3&#215;3\u884c\u5217\u3092\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002A = [[1, 2, 3], [0, 1, 4], [5, 6, 0]]\u3068\u3057\u307e\u3059\u3002\u307e\u305a\u3001\u3053\u306e\u884c\u5217\u306e\u884c\u5217\u5f0fdet A\u3092\u8a08\u7b97\u3057\u3001\u6b21\u306b\u4f59\u56e0\u5b50\u884c\u5217\u3092\u69cb\u7bc9\u3057\u307e\u3059\u3002\u305d\u306e\u5f8c\u3001\u4f59\u56e0\u5b50\u884c\u5217\u3092\u8ee2\u7f6e\u3057\u3066\u9006\u884c\u5217\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002\u3053\u306e\u30d7\u30ed\u30bb\u30b9\u3092\u901a\u3058\u3066\u3001\u30c9\u30e1\u30a4\u30f3\u56fa\u6709\u306e\u8a08\u7b97\u304c\u3069\u306e\u3088\u3046\u306b\u5b9f\u884c\u3055\u308c\u308b\u304b\u3092\u793a\u3057\u307e\u3059\u3002\u3053\u306e\u3088\u3046\u306a\u5177\u4f53\u4f8b\u3092\u901a\u3058\u3066\u30013&#215;3\u884c\u5217\u306e\u9006\u884c\u5217\u306e\u7406\u89e3\u3092\u6df1\u3081\u308b\u3053\u3068\u304c\u53ef\u80fd\u3067\u3059\u3002<\/p>\n<h4>4. \u884c\u5217\u306e\u9006\u884c\u5217\u306e\u5fdc\u7528<\/h4>\n<p>3&#215;3\u884c\u5217\u306e\u9006\u884c\u5217\u306f\u3001\u79d1\u5b66\u6280\u8853\u306e\u591a\u304f\u306e\u5206\u91ce\u3067\u5fdc\u7528\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u4f8b\u3048\u3070\u3001\u7dda\u5f62\u4ee3\u6570\u306f\u7269\u7406\u5b66\u3001\u5de5\u5b66\u3001\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u30b5\u30a4\u30a8\u30f3\u30b9\u306a\u3069\u3067\u5e83\u304f\u5229\u7528\u3055\u308c\u3001\u9006\u884c\u5217\u3092\u4f7f\u3063\u3066\u9023\u7acb\u65b9\u7a0b\u5f0f\u3092\u89e3\u304f\u3053\u3068\u3067\u3001\u69d8\u3005\u306a\u554f\u984c\u306b\u5bfe\u5fdc\u3057\u307e\u3059\u3002\u307e\u305f\u3001\u9006\u884c\u5217\u306f\u30c7\u30fc\u30bf\u89e3\u6790\u3084\u7d71\u8a08\u306e\u5206\u91ce\u3067\u3082\u91cd\u8981\u306a\u5f79\u5272\u3092\u679c\u305f\u3057\u3001\u56de\u5e30\u5206\u6790\u3084\u6700\u9069\u5316\u554f\u984c\u306a\u3069\u3067\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u9006\u884c\u5217\u306e\u8a08\u7b97\u306f\u7406\u8ad6\u7684\u306a\u91cd\u8981\u6027\u3060\u3051\u3067\u306a\u304f\u3001\u5b9f\u8df5\u7684\u306a\u610f\u7fa9\u3082\u6301\u3063\u3066\u3044\u307e\u3059\u3002<\/p>\n<h4>5. \u7dcf\u62ec\u3068\u4eca\u5f8c\u306e\u5c55\u671b<\/h4>\n<p>3&#215;3\u884c\u5217\u306e\u9006\u884c\u5217\u306e\u8a08\u7b97\u65b9\u6cd5\u306f\u3001\u6570\u5b66\u7684\u306a\u7406\u8ad6\u3060\u3051\u3067\u306a\u304f\u3001\u5de5\u5b66\u3084\u7269\u7406\u5b66\u306a\u3069\u306e\u5b9f\u793e\u4f1a\u306b\u304a\u3044\u3066\u91cd\u8981\u306a\u5f79\u5272\u3092\u679c\u305f\u3057\u3066\u3044\u307e\u3059\u3002\u7279\u306b\u3001\u8907\u96d1\u306a\u30b7\u30b9\u30c6\u30e0\u3084\u30c7\u30fc\u30bf\u306e\u89e3\u6790\u306b\u304a\u3044\u3066\u3001\u9006\u884c\u5217\u306f\u4e0d\u53ef\u6b20\u306a\u30c4\u30fc\u30eb\u3067\u3059\u3002\u4eca\u5f8c\u306f\u3001\u8a08\u7b97\u6a5f\u6280\u8853\u306e\u9032\u6b69\u306b\u3088\u308a\u3001\u3088\u308a\u8907\u96d1\u306a\u884c\u5217\u306e\u51e6\u7406\u304c\u53ef\u80fd\u306b\u306a\u308b\u3068\u5171\u306b\u3001\u65b0\u305f\u306a\u5fdc\u7528\u624b\u6cd5\u304c\u958b\u767a\u3055\u308c\u308b\u3053\u3068\u304c\u671f\u5f85\u3055\u308c\u307e\u3059\u3002\u9006\u884c\u5217\u306e\u7406\u89e3\u3092\u6df1\u3081\u308b\u3053\u3068\u306f\u3001\u6570\u5b66\u306e\u5b66\u7fd2\u3060\u3051\u3067\u306a\u304f\u3001\u5b9f\u52d9\u306b\u304a\u3044\u3066\u3082\u5927\u304d\u306a\u4fa1\u5024\u3092\u63d0\u4f9b\u3057\u307e\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u30bf\u30a4\u30c8\u30eb3&#215;3\u884c\u5217\u5f0f\u306e\u9006\u884c\u5217\u306e\u8a08\u7b97\u65b9\u6cd5\u3068\u305d\u306e\u5fdc\u7528\u306b\u3064\u3044\u3066\u89e3\u8aac<\/p>\n","protected":false},"author":1,"featured_media":1167,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6],"tags":[4823,4824,2353],"class_list":["post-3769","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-3x3","tag-3x3","tag-4824","tag-2353"],"yoast_head":"<!-- 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