{"id":5315,"date":"2025-12-23T07:02:28","date_gmt":"2025-12-22T22:02:28","guid":{"rendered":"https:\/\/lanqiu.aboutphlaw.com\/?p=5315"},"modified":"2025-12-23T07:02:29","modified_gmt":"2025-12-22T22:02:29","slug":"3x3-matrix-inverse-calculation-importance-in-education-and-life","status":"publish","type":"post","link":"https:\/\/lanqiu.aboutphlaw.com\/3x3\/3x3-matrix-inverse-calculation-importance-in-education-and-life","title":{"rendered":"3&#215;3 \uc5ed\ud589\ub82c\u306e\u8a08\u7b97\u65b9\u6cd5\u3068\u305d\u306e\u5fdc\u7528\uff08\u6570\u5b66\u6559\u80b2\u306b\u304a\u3051\u308b\u91cd\u8981\u6027\u3068\u5b9f\u751f\u6d3b\u3067\u306e\u6d3b\u7528\u4f8b\uff09"},"content":{"rendered":"<h4>\u76ee\u6b211<\/h4>\n<p>3&#215;3 \uc5ed\ud589\ub82c\u306e\u57fa\u672c\u6982\u5ff5\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u884c\u5217\u306f\u6570\u5b66\u306b\u304a\u3051\u308b\u975e\u5e38\u306b\u91cd\u8981\u306a\u8981\u7d20\u3067\u3042\u308a\u3001\u7279\u306b3&#215;3\u306e\u884c\u5217\u306f\u69d8\u3005\u306a\u5834\u5408\u306b\u4f7f\u7528\u3055\u308c\u308b\u983b\u51fa\u30d1\u30bf\u30fc\u30f3\u3067\u3059\u3002\u9006\u884c\u5217\u3068\u306f\u3001\u3042\u308b\u884c\u5217A\u306b\u5bfe\u3057\u3066\u305d\u306e\u9006\u884c\u5217A<sup>-1<\/sup>\u304c\u5b58\u5728\u3059\u308b\u5834\u5408\u306b\u3001AA<sup>-1<\/sup> = I\uff08\u5358\u4f4d\u884c\u5217\uff09\u3068\u3044\u3046\u95a2\u4fc2\u304c\u6210\u308a\u7acb\u3064\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u30023&#215;3\u306e\u884c\u5217\u306e\u5834\u5408\u3001\u7279\u5b9a\u306e\u6761\u4ef6\u304c\u6e80\u305f\u3055\u308c\u3066\u3044\u308b\u3068\u304d\u3001\u9006\u884c\u5217\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u53ef\u80fd\u3067\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u65b9\u7a0b\u5f0f\u3092\u89e3\u3044\u305f\u308a\u3001\u30c7\u30fc\u30bf\u3092\u6271\u3063\u305f\u308a\u3059\u308b\u969b\u306b\u975e\u5e38\u306b\u4fbf\u5229\u306a\u30c4\u30fc\u30eb\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<h4>\u76ee\u6b212<\/h4>\n<p>3&#215;3 \uc5ed\ud589\ub82c\u306e\u8a08\u7b97\u65b9\u6cd5\u3092\u8aac\u660e\u3057\u307e\u3059\u3002\u307e\u305a\u3001\u884c\u5217A\u304c\u6b21\u306e\u3088\u3046\u306b\u8868\u3055\u308c\u308b\u3068\u4eee\u5b9a\u3057\u307e\u3059<\/p>\n<p>A = <span>( a\u2081\u2081 a\u2081\u2082 a\u2081\u2083 )<\/span><br \/>\n<span>( a\u2082\u2081 a\u2082\u2082 a\u2082\u2083 )<\/span><br \/>\n<span>( a\u2083\u2081 a\u2083\u2082 a\u2083\u2083 )<\/span><\/p>\n<p>\u884c\u5217\u306e\u9006\u884c\u5217\u306f\u3001\u6b21\u306e\u5f0f\u3092\u4f7f\u3063\u3066\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059<\/p>\n<p>A<sup>-1<\/sup> = (1\/det(A)) * adj(A)<\/p>\n<p>\u3053\u3053\u3067\u3001det(A)\u306f\u884c\u5217A\u306e\u884c\u5217\u5f0f\u3001adj(A)\u306f\u884c\u5217A\u306e\u968f\u4f34\u884c\u5217\u3067\u3059\u3002\u884c\u5217\u5f0f\u3092\u6c42\u3081\u308b\u306b\u306f\u3001\u6b21\u306e\u5f0f\u3092\u4f7f\u7528\u3057\u307e\u3059<\/p>\n<p>det(A) = a\u2081\u2081(a\u2082\u2082a\u2083\u2083 &#8211; a\u2082\u2083a\u2083\u2082) &#8211; a\u2081\u2082(a\u2082\u2081a\u2083\u2083 &#8211; a\u2082\u2083a\u2083\u2081) + a\u2081\u2083(a\u2082\u2081a\u2083\u2082 &#8211; a\u2082\u2082a\u2083\u2081)<\/p>\n<p>\u3053\u306e\u6570\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u884c\u5217\u5f0f\u304c0\u3067\u306a\u3044\u3053\u3068\u3092\u78ba\u8a8d\u3059\u308b\u3053\u3068\u304c\u91cd\u8981\u3067\u3059\u3002\u306a\u305c\u306a\u3089\u3001\u884c\u5217\u304c\u7279\u7570\uff08\u9006\u884c\u5217\u304c\u5b58\u5728\u3057\u306a\u3044\uff09\u3067\u3042\u308b\u5834\u5408\u3001\u3053\u306e\u65b9\u6cd5\u306f\u9069\u7528\u3067\u304d\u307e\u305b\u3093\u3002<\/p>\n<h4>\u76ee\u6b213<\/h4>\n<p>3&#215;3 \uc5ed\ud589\ub82c\u306e\u5fdc\u7528\u306f\u6570\u5b66\u6559\u80b2\u306b\u304a\u3044\u3066\u975e\u5e38\u306b\u91cd\u8981\u3067\u3059\u3002\u9006\u884c\u5217\u3092\u4f7f\u3063\u305f\u554f\u984c\u89e3\u6c7a\u306f\u3001\u5b66\u751f\u306b\u8ad6\u7406\u7684\u601d\u8003\u3092\u4fc3\u9032\u3057\u307e\u3059\u3002\u7279\u306b\u3001\u7dda\u5f62\u4ee3\u6570\u306e\u57fa\u672c\u3092\u7406\u89e3\u3059\u308b\u4e0a\u3067\u4e0d\u53ef\u6b20\u3067\u3059\u3002\u4f8b\u3048\u3070\u3001\u7269\u7406\u5b66\u3084\u5de5\u5b66\u306e\u69d8\u3005\u306a\u5206\u91ce\u3067\u306f\u3001\u884c\u5217\u3092\u7528\u3044\u3066\u30b7\u30b9\u30c6\u30e0\u306e\u30e2\u30c7\u30ea\u30f3\u30b0\u3092\u884c\u3044\u307e\u3059\u3002\u9006\u884c\u5217\u3092\u4f7f\u3063\u3066\u7dda\u5f62\u65b9\u7a0b\u5f0f\u3092\u89e3\u304f\u80fd\u529b\u306f\u3001\u5b9f\u969b\u306e\u554f\u984c\u89e3\u6c7a\u3092\u884c\u3046\u969b\u306b\u975e\u5e38\u306b\u5f79\u7acb\u3061\u307e\u3059\u3002\u307e\u305f\u30013&#215;3\u9006\u884c\u5217\u306e\u8a08\u7b97\u306f\u3001\u30c7\u30fc\u30bf\u89e3\u6790\u3084\u6697\u53f7\u7406\u8ad6\u306b\u3082\u5229\u7528\u3055\u308c\u3066\u304a\u308a\u3001\u5e45\u5e83\u3044\u5206\u91ce\u3067\u5fdc\u7528\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n<h4>\u76ee\u6b214<\/h4>\n<p>\u5b9f\u751f\u6d3b\u306b\u304a\u3051\u308b3&#215;3 \uc5ed\ud589\ub82c\u306e\u6d3b\u7528\u4e8b\u4f8b\u3092\u7d39\u4ecb\u3057\u307e\u3059\u3002\u4e00\u3064\u306e\u5177\u4f53\u4f8b\u3068\u3057\u3066\u3001\u4ea4\u901a\u6d41\u91cf\u306e\u89e3\u6790\u304c\u3042\u308a\u307e\u3059\u3002\u9053\u8def\u7db2\u306e\u30e2\u30c7\u30eb\u5316\u306b3&#215;3\u884c\u5217\u3092\u4f7f\u7528\u3057\u3001\u5404\u4ea4\u5dee\u70b9\u306e\u6d41\u5165\u3068\u6d41\u51fa\u3092\u7ba1\u7406\u3057\u307e\u3059\u3002\u9006\u884c\u5217\u3092\u6c42\u3081\u308b\u3053\u3068\u3067\u3001\u4ea4\u5dee\u70b9\u306e\u6d41\u308c\u3092\u8abf\u6574\u3057\u305f\u308a\u3001\u6700\u9069\u306a\u4fe1\u53f7\u30bf\u30a4\u30df\u30f3\u30b0\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u304c\u53ef\u80fd\u306b\u306a\u308a\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u30b2\u30fc\u30e0\u7406\u8ad6\u306b\u304a\u3044\u3066\u3082\u4f7f\u308f\u308c\u3001\u6226\u7565\u7684\u306a\u610f\u601d\u6c7a\u5b9a\u306e\u5206\u6790\u304c\u884c\u308f\u308c\u307e\u3059\u3002\u3053\u306e\u3088\u3046\u306b\u3001\u9006\u884c\u5217\u306e\u7406\u89e3\u3068\u6d3b\u7528\u306f\u3001\u7406\u8ad6\u7684\u306a\u6570\u5b66\u3092\u8d85\u3048\u305f\u65e5\u5e38\u751f\u6d3b\u306e\u554f\u984c\u89e3\u6c7a\u306b\u5f79\u7acb\u3064\u306e\u3067\u3059\u3002<\/p>\n<h4>\u76ee\u6b215<\/h4>\n<p>\u6700\u5f8c\u306b\u30013&#215;3 \uc5ed\ud589\ub82c\u306e\u8a08\u7b97\u3084\u5fdc\u7528\u3092\u5b66\u3076\u3053\u3068\u306f\u3001\u6570\u5b66\u6559\u80b2\u306b\u3068\u3063\u3066\u975e\u5e38\u306b\u91cd\u8981\u3067\u3042\u308b\u3068\u8003\u3048\u3089\u308c\u307e\u3059\u3002\u5b66\u751f\u304c\u3053\u306e\u6982\u5ff5\u3092\u7406\u89e3\u3059\u308b\u3053\u3068\u3067\u3001\u3088\u308a\u8907\u96d1\u306a\u6570\u5b66\u7684\u554f\u984c\u3092\u6271\u3048\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002\u307e\u305f\u3001\u30c7\u30fc\u30bf\u30b5\u30a4\u30a8\u30f3\u30b9\u3084\u7d4c\u6e08\u5b66\u3001\u5de5\u5b66\u306a\u3069\u3001\u73fe\u4ee3\u793e\u4f1a\u306b\u304a\u3044\u3066\u9700\u8981\u304c\u9ad8\u3044\u5206\u91ce\u3067\u306e\u9069\u7528\u80fd\u529b\u304c\u990a\u308f\u308c\u307e\u3059\u3002\u6570\u5b66\u306e\u57fa\u790e\u7684\u306a\u30b9\u30ad\u30eb\u3092\u8eab\u306b\u3064\u3051\u308b\u3053\u3068\u306f\u3001\u8077\u696d\u9078\u629e\u3084\u30ad\u30e3\u30ea\u30a2\u306e\u5e45\u3092\u5e83\u3052\u308b\u9375\u3068\u306a\u308b\u3067\u3057\u3087\u3046\u3002\u4eca\u5f8c\u306e\u6559\u80b2\u30d7\u30ed\u30bb\u30b9\u306b\u304a\u3044\u3066\u30013&#215;3\u306e\u9006\u884c\u5217\u306e\u91cd\u8981\u6027\u3092\u518d\u78ba\u8a8d\u3057\u3001\u6559\u80b2\u624b\u6cd5\u306e\u6539\u5584\u306b\u3064\u306a\u3052\u3066\u3044\u304f\u3053\u3068\u304c\u6c42\u3081\u3089\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u30bf\u30a4\u30c8\u30eb3&#215;3 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