{"id":8773,"date":"2026-01-07T19:02:30","date_gmt":"2026-01-07T10:02:30","guid":{"rendered":"https:\/\/lanqiu.aboutphlaw.com\/?p=8773"},"modified":"2026-01-07T19:02:30","modified_gmt":"2026-01-07T10:02:30","slug":"3x3-matrix-squaring-methods-applications-in-math-education","status":"publish","type":"post","link":"https:\/\/lanqiu.aboutphlaw.com\/3x3\/3x3-matrix-squaring-methods-applications-in-math-education","title":{"rendered":"3×3 \u884c\u5217 2\u4e57\u306e\u8a08\u7b97\u65b9\u6cd5\u3068\u5fdc\u7528\u4e8b\u4f8b\u306e\u7d39\u4ecb\uff08\u6570\u5b66\u6559\u80b2\u306b\u304a\u3051\u308b\u91cd\u8981\u6027\u3068\u5b9f\u8df5\u7684\u306a\u6d3b\u7528\u6cd5\uff09"},"content":{"rendered":"

\u76ee\u5f551<\/h4>\n

3×3\u884c\u5217\u306e2\u4e57\u306f\u3001\u6570\u5b66\u306e\u91cd\u8981\u306a\u6982\u5ff5\u306e\u4e00\u3064\u3067\u3042\u308a\u3001\u7279\u306b\u7dda\u5f62\u4ee3\u6570\u306b\u304a\u3044\u3066\u5e83\u304f\u5229\u7528\u3055\u308c\u307e\u3059\u3002\u884c\u5217\u306e\u6f14\u7b97\u306f\u3001\u30c7\u30fc\u30bf\u89e3\u6790\u3084\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u30b5\u30a4\u30a8\u30f3\u30b9\u3001\u7269\u7406\u5b66\u306a\u3069\u3055\u307e\u3056\u307e\u306a\u5206\u91ce\u3067\u4e0d\u53ef\u6b20\u3067\u3059\u30023×3\u884c\u5217\u306e2\u4e57\u3092\u8a08\u7b97\u3059\u308b\u30d7\u30ed\u30bb\u30b9\u306f\u3001\u884c\u5217\u306e\u8981\u7d20\u540c\u58eb\u3092\u639b\u3051\u5408\u308f\u305b\u3001\u7d50\u679c\u3092\u65b0\u3057\u3044\u884c\u5217\u306b\u914d\u7f6e\u3059\u308b\u3053\u3068\u304b\u3089\u59cb\u307e\u308a\u307e\u3059\u3002\u3053\u306e\u8a08\u7b97\u306f\u3001\u6570\u5b66\u6559\u80b2\u306b\u304a\u3044\u3066\u751f\u5f92\u304c\u884c\u5217\u64cd\u4f5c\u306b\u6163\u308c\u308b\u305f\u3081\u306e\u57fa\u672c\u7684\u306a\u7df4\u7fd2\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n

\u76ee\u5f552<\/h4>\n

\u5177\u4f53\u7684\u306a\u8a08\u7b97\u65b9\u6cd5\u3092\u898b\u3066\u3044\u304d\u307e\u3057\u3087\u3046\u30023×3\u884c\u5217A\u3068B\u304c\u3042\u308b\u3068\u3057\u307e\u3059\u3002\u305d\u308c\u305e\u308c\u306e\u884c\u5217\u306f\u6b21\u306e\u3088\u3046\u306b\u8868\u3055\u308c\u307e\u3059<\/p>\n

A = |a11 a12 a13|
\n |a21 a22 a23|
\n |a31 a32 a33|<\/p>\n

B = |b11 b12 b13|
\n |b21 b22 b23|
\n |b31 b32 b33|<\/p>\n

\u3053\u306e\u5834\u5408\u30013×3\u884c\u5217A\u3068B\u306e2\u4e57\u306f\u4ee5\u4e0b\u306e\u5f0f\u3067\u8868\u3055\u308c\u307e\u3059<\/p>\n

AB = |a11b11 + a12b21 + a13b31 a11b12 + a12b22 + a13b32 a11b13 + a12b23 + a13b33|
\n |a21b11 + a22b21 + a23b31 a21b12 + a22b22 + a23b32 a21b13 + a22b23 + a23b33|
\n |a31b11 + a32b21 + a33b31 a31b12 + a32b22 + a33b32 a31b13 + a32b23 + a33b33|<\/p>\n

\u3053\u306e\u8a08\u7b97\u3092\u884c\u3046\u3053\u3068\u306b\u3088\u3063\u3066\u3001\u65b0\u3057\u30443×3\u884c\u5217\u304c\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n

\u76ee\u5f553<\/h4>\n

3×3\u884c\u5217\u306e2\u4e57\u306e\u8a08\u7b97\u306f\u3001\u6570\u5b66\u3060\u3051\u3067\u306a\u304f\u3001\u5b9f\u4e16\u754c\u306e\u554f\u984c\u89e3\u6c7a\u306b\u3082\u5fdc\u7528\u3055\u308c\u307e\u3059\u3002\u4f8b\u3048\u3070\u3001\u7269\u7406\u5b66\u3067\u306f\u3001\u529b\u3084\u904b\u52d5\u3092\u8868\u3059\u305f\u3081\u306e\u9053\u5177\u3068\u3057\u3066\u884c\u5217\u3092\u4f7f\u7528\u3057\u3001\u8907\u96d1\u306a\u30b7\u30b9\u30c6\u30e0\u3092\u89e3\u6790\u3057\u307e\u3059\u3002\u307e\u305f\u3001\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u30d3\u30b8\u30e7\u30f3\u3084\u6a5f\u68b0\u5b66\u7fd2\u306e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3067\u3082\u3001\u884c\u5217\u6f14\u7b97\u304c\u983b\u7e41\u306b\u7528\u3044\u3089\u308c\u3001\u305d\u306e\u7d50\u679c\u304b\u3089\u6709\u7528\u306a\u60c5\u5831\u3092\u62bd\u51fa\u3057\u307e\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u5b66\u751f\u306f\u6570\u5b66\u306e\u62bd\u8c61\u6982\u5ff5\u3092\u5177\u4f53\u4f8b\u306b\u7d50\u3073\u4ed8\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u3001\u3088\u308a\u6df1\u3044\u7406\u89e3\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n

\u76ee\u5f554<\/h4>\n

\u6559\u80b2\u73fe\u5834\u306b\u304a\u3044\u3066\u30013×3\u884c\u5217\u306e2\u4e57\u3092\u5b66\u3076\u3053\u3068\u306f\u91cd\u8981\u3067\u3059\u3002\u751f\u5f92\u306f\u3053\u306e\u6f14\u7b97\u3092\u901a\u3058\u3066\u3001\u554f\u984c\u89e3\u6c7a\u80fd\u529b\u3084\u8ad6\u7406\u7684\u601d\u8003\u3092\u935b\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u30b0\u30eb\u30fc\u30d7\u6d3b\u52d5\u3084\u30d7\u30ed\u30b8\u30a7\u30af\u30c8\u3092\u901a\u3058\u3066\u3001\u5b9f\u969b\u306e\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u3092\u7528\u3044\u305f\u884c\u5217\u8a08\u7b97\u306e\u6f14\u7fd2\u3092\u884c\u3046\u3053\u3068\u3067\u3001\u5b9f\u8df5\u7684\u306a\u30b9\u30ad\u30eb\u3092\u8eab\u306b\u3064\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u6570\u5b66\u306e\u7406\u89e3\u3092\u6df1\u3081\u3001\u4ed6\u306e\u79d1\u76ee\u3068\u306e\u95a2\u9023\u6027\u3092\u8a8d\u8b58\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n

\u76ee\u5f555<\/h4>\n

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