{"id":10820,"date":"2026-01-13T00:02:41","date_gmt":"2026-01-12T15:02:41","guid":{"rendered":"https:\/\/lanqiu.aboutphlaw.com\/?p=10820"},"modified":"2026-01-13T00:02:41","modified_gmt":"2026-01-12T15:02:41","slug":"understanding-3x3-matrix-product-formula-mathematics-education","status":"publish","type":"post","link":"https:\/\/lanqiu.aboutphlaw.com\/3x3\/understanding-3x3-matrix-product-formula-mathematics-education","title":{"rendered":"\u884c\u5217\u306e\u7a4d\u306e\u516c\u5f0f3×3\u306e\u7406\u89e3\u3068\u5fdc\u7528\uff08\u6570\u5b66\u6559\u80b2\u306b\u304a\u3051\u308b\u91cd\u8981\u6027\u3068\u5b9f\u8df5\u7684\u306a\u5229\u7528\u6cd5\uff09"},"content":{"rendered":"

\u884c\u5217\u306e\u7a4d\u306e\u516c\u5f0f3×3\u306e\u57fa\u672c\u6982\u5ff5<\/h4>\n

\u884c\u5217\u306e\u7a4d\u306f\u3001\u7dda\u5f62\u4ee3\u6570\u306b\u304a\u3051\u308b\u91cd\u8981\u306a\u64cd\u4f5c\u3067\u3042\u308a\u3001\u7279\u306b3×3\u306e\u884c\u5217\u306b\u95a2\u3057\u3066\u306f\u3001\u6570\u5b66\u6559\u80b2\u306b\u304a\u3044\u3066\u57fa\u672c\u7684\u306a\u30b9\u30ad\u30eb\u3068\u3057\u3066\u6559\u3048\u3089\u308c\u3066\u3044\u307e\u3059\u30023×3\u884c\u5217\u306e\u7a4d\u3092\u7406\u89e3\u3059\u308b\u305f\u3081\u306b\u306f\u3001\u307e\u305a\u5404\u884c\u5217\u306e\u8981\u7d20\u306e\u7d44\u307f\u5408\u308f\u305b\u3092\u628a\u63e1\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u884c\u5217A\uff08a11, a12, a13 ; a21, a22, a23 ; a31, a32, a33\uff09\u3068\u884c\u5217B\uff08b11, b12, b13 ; b21, b22, b23 ; b31, b32, b33\uff09\u306e\u639b\u3051\u7b97\u306b\u3088\u308b\u884c\u5217C\uff08c11, c12, c13 ; c21, c22, c23 ; c31, c32, c33\uff09\u306f\u3001\u6b21\u306e\u3088\u3046\u306a\u6570\u5f0f\u3067\u8868\u3055\u308c\u307e\u3059
c11 = a11*b11 + a12*b21 + a13*b31
c12 = a11*b12 + a12*b22 + a13*b32
c13 = a11*b13 + a12*b23 + a13*b33
c21 = a21*b11 + a22*b21 + a23*b31
c22 = a21*b12 + a22*b22 + a23*b32
c23 = a21*b13 + a22*b23 + a23*b33
c31 = a31*b11 + a32*b21 + a33*b31
c32 = a31*b12 + a32*b22 + a33*b32
c33 = a31*b13 + a32*b23 + a33*b33\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u884c\u5217\u306e\u7a4d\u3092\u6c42\u3081\u308b\u969b\u306b\u5fc5\u8981\u306a\u8a08\u7b97\u65b9\u6cd5\u306e\u57fa\u790e\u304c\u78ba\u7acb\u3057\u307e\u3059\u3002<\/p>\n

\u884c\u5217\u306e\u7a4d\u306e\u516c\u5f0f3×3\u306e\u5fdc\u7528\u4f8b<\/h4>\n

3×3\u884c\u5217\u306e\u884c\u5217\u306e\u7a4d\u306f\u3001\u3055\u307e\u3056\u307e\u306a\u5206\u91ce\u3067\u306e\u5fdc\u7528\u304c\u898b\u3089\u308c\u307e\u3059\u3002\u4f8b\u3048\u3070\u3001\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u30b0\u30e9\u30d5\u30a3\u30c3\u30af\u30b9\u3067\u306f\u3001\u753b\u50cf\u306e\u5909\u63db\u3084\u5c04\u5f71\u306b\u884c\u5217\u3092\u4f7f\u7528\u3057\u307e\u3059\u3002\u307e\u305f\u3001\u7d4c\u6e08\u5b66\u306b\u304a\u3044\u3066\u306f\u3001\u884c\u5217\u3092\u4f7f\u7528\u3057\u3066\u9700\u8981\u3068\u4f9b\u7d66\u306e\u95a2\u4fc2\u3092\u30e2\u30c7\u30eb\u5316\u3059\u308b\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002\u5177\u4f53\u7684\u306a\u4f8b\u3068\u3057\u3066\u3001\u5ea7\u6a19\u5909\u63db\u3092\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u30023\u6b21\u5143\u7a7a\u9593\u3067\u306e\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u3092\u56de\u8ee2\u3055\u305b\u308b\u969b\u3001\u56de\u8ee2\u884c\u5217\u3092\u5229\u7528\u3057\u3066\u65b0\u3057\u3044\u5ea7\u6a19\u3092\u6c42\u3081\u307e\u3059\u3002\u3053\u306e\u3088\u3046\u306b\u3001\u884c\u5217\u306e\u7a4d\u306e\u5fdc\u7528\u306f\u975e\u5e38\u306b\u591a\u69d8\u3067\u3042\u308a\u3001\u6570\u5b66\u7684\u306a\u7406\u8ad6\u3092\u5b9f\u969b\u306e\u554f\u984c\u89e3\u6c7a\u306b\u3064\u306a\u3052\u308b\u91cd\u8981\u306a\u30c4\u30fc\u30eb\u3068\u306a\u3063\u3066\u3044\u307e\u3059\u3002<\/p>\n

\u884c\u5217\u306e\u7a4d\u306e\u516c\u5f0f3×3\u3092\u5b66\u7fd2\u3059\u308b\u610f\u7fa9<\/h4>\n

\u884c\u5217\u306e\u7a4d\u306e\u7406\u89e3\u306f\u3001\u6570\u5b66\u6559\u80b2\u306b\u304a\u3044\u3066\u975e\u5e38\u306b\u91cd\u8981\u3067\u3059\u3002\u5b66\u751f\u305f\u3061\u304c\u884c\u5217\u306e\u51e6\u7406\u3092\u5b66\u3076\u3053\u3068\u3067\u3001\u62bd\u8c61\u7684\u306a\u6570\u5b66\u7684\u6982\u5ff5\u3092\u73fe\u5b9f\u4e16\u754c\u306e\u554f\u984c\u306b\u9069\u7528\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002\u7279\u306b\u30013×3\u884c\u5217\u306f\u57fa\u790e\u7684\u306a\u30b5\u30a4\u30ba\u3067\u3042\u308a\u3001\u884c\u5217\u306e\u6f14\u7b97\u306b\u5bfe\u3059\u308b\u76f4\u611f\u3092\u80b2\u3066\u308b\u305f\u3081\u306e\u826f\u3044\u51fa\u767a\u70b9\u3068\u306a\u308a\u307e\u3059\u3002\u307e\u305f\u3001\u884c\u5217\u3092\u7528\u3044\u305f\u8a08\u7b97\u306f\u3001\u79d1\u5b66\u3084\u5de5\u5b66\u3060\u3051\u3067\u306a\u304f\u3001\u60c5\u5831\u6280\u8853\u3084\u30c7\u30fc\u30bf\u30b5\u30a4\u30a8\u30f3\u30b9\u306e\u5206\u91ce\u3067\u3082\u4e0d\u53ef\u6b20\u3067\u3059\u3002\u3053\u306e\u305f\u3081\u30013×3\u884c\u5217\u306e\u7a4d\u3092\u5b66\u7fd2\u3059\u308b\u3053\u3068\u306f\u3001\u3053\u308c\u3089\u306e\u5206\u91ce\u3067\u306e\u30ad\u30e3\u30ea\u30a2\u306b\u304a\u3044\u3066\u3082\u5927\u3044\u306b\u5f79\u7acb\u3064\u3053\u3068\u3067\u3057\u3087\u3046\u3002<\/p>\n

\u884c\u5217\u306e\u7a4d\u306e\u516c\u5f0f3×3\u306b\u95a2\u3059\u308b\u6559\u80b2\u306e\u5b9f\u8df5\u4f8b<\/h4>\n

\u6559\u80b2\u73fe\u5834\u306b\u304a\u3044\u3066\u3001\u884c\u5217\u306e\u7a4d\u306e\u516c\u5f0f3×3\u3092\u6559\u3048\u308b\u969b\u306b\u306f\u3001\u5b9f\u8df5\u7684\u306a\u30a2\u30d7\u30ed\u30fc\u30c1\u304c\u6709\u52b9\u3067\u3059\u3002\u305f\u3068\u3048\u3070\u3001\u4e0e\u3048\u3089\u308c\u305f\u884c\u5217\u3092\u4f7f\u3063\u3066\u3001\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u30b0\u30e9\u30d5\u30a3\u30c3\u30af\u30b9\u3084\u7269\u7406\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u306e\u30b7\u30f3\u30d7\u30eb\u306a\u30e2\u30c7\u30eb\u3092\u69cb\u7bc9\u3055\u305b\u308b\u3053\u3068\u3067\u3001\u5b66\u751f\u306f\u7406\u8ad6\u3092\u5177\u4f53\u7684\u306a\u554f\u984c\u306b\u7d50\u3073\u3064\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u30b0\u30eb\u30fc\u30d7\u30ef\u30fc\u30af\u3092\u901a\u3057\u3066\u884c\u5217\u306e\u7a4d\u306e\u6f14\u7b97\u3092\u7af6\u308f\u305b\u305f\u308a\u3001\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u30bd\u30d5\u30c8\u30a6\u30a7\u30a2\u3092\u4f7f\u3063\u3066\u8996\u899a\u7684\u306b\u884c\u5217\u306e\u5909\u63db\u3092\u793a\u3057\u305f\u308a\u3059\u308b\u3068\u3001\u751f\u5f92\u306e\u7406\u89e3\u3092\u6df1\u3081\u308b\u306e\u306b\u5f79\u7acb\u3061\u307e\u3059\u3002\u3053\u306e\u3088\u3046\u306a\u5b9f\u8df5\u7684\u306a\u53d6\u308a\u7d44\u307f\u306b\u3088\u308a\u3001\u6570\u5b66\u304c\u76f8\u624b\u306e\u4e16\u754c\u3092\u5f62\u4f5c\u308b\u30c4\u30fc\u30eb\u3067\u3042\u308b\u3053\u3068\u3092\u5b9f\u611f\u3055\u305b\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n

\u884c\u5217\u306e\u7a4d\u306e\u516c\u5f0f3×3\u306e\u672a\u6765\u7684\u306a\u5c55\u671b<\/h4>\n

\u4eca\u5f8c\u306e\u6559\u80b2\u306b\u304a\u3044\u3066\u3001\u884c\u5217\u306e\u7a4d\u306e\u516c\u5f0f3×3\u306f\u307e\u3059\u307e\u3059\u91cd\u8981\u306a\u5f79\u5272\u3092\u679c\u305f\u3059\u3068\u8003\u3048\u3089\u308c\u307e\u3059\u3002\u4eba\u5de5\u77e5\u80fd\u3084\u6a5f\u68b0\u5b66\u7fd2\u306e\u9032\u5c55\u306b\u4f34\u3044\u3001\u884c\u5217\u3084\u884c\u5217\u306e\u7a4d\u306f\u30c7\u30fc\u30bf\u89e3\u6790\u3084\u4e88\u6e2c\u30e2\u30c7\u30eb\u306e\u57fa\u76e4\u3068\u306a\u308a\u307e\u3059\u3002\u6559\u80b2\u30ab\u30ea\u30ad\u30e5\u30e9\u30e0\u306b\u3053\u306e\u3088\u3046\u306a\u6700\u65b0\u306e\u30c8\u30d4\u30c3\u30af\u3092\u7d44\u307f\u8fbc\u3080\u3053\u3068\u306f\u3001\u5b66\u751f\u306b\u672a\u6765\u306e\u6280\u8853\u3092\u7406\u89e3\u3055\u305b\u308b\u305f\u3081\u306b\u6b20\u304b\u305b\u306a\u3044\u8981\u7d20\u3067\u3059\u3002\u307e\u305f\u3001\u30aa\u30f3\u30e9\u30a4\u30f3\u6559\u80b2\u30d7\u30e9\u30c3\u30c8\u30d5\u30a9\u30fc\u30e0\u306e\u666e\u53ca\u306b\u3088\u308a\u3001\u30ea\u30e2\u30fc\u30c8\u5b66\u7fd2\u3067\u3082\u884c\u5217\u306e\u7a4d\u306e\u7406\u89e3\u3092\u6df1\u3081\u3089\u308c\u308b\u3088\u3046\u3001\u30a4\u30f3\u30bf\u30e9\u30af\u30c6\u30a3\u30d6\u306a\u6559\u6750\u3084\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u304c\u5897\u3048\u308b\u3053\u3068\u304c\u671f\u5f85\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u884c\u5217\u306b\u5bfe\u3059\u308b\u7406\u89e3\u304c\u3088\u308a\u4e00\u5c64\u5e83\u304c\u308b\u3053\u3068\u3067\u3057\u3087\u3046\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"

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