暑假打发时间2

2023-08-03 16:11 作者:臥煙鈴 0人读过 | 我要投稿

今天本来打算把文明6拷过去玩的，拷了半个小时没有拷下来就直接过去了

于是随便做点题打发时间

1.(西南大学)

$%E8%AE%BEA%2CB%E6%98%AFn%E9%98%B6%E5%AE%9E%E5%AF%B9%E7%A7%B0%E7%9F%A9%E9%98%B5%EF%BC%8CC%E6%98%AFn%E9%98%B6%E5%8F%8D%E5%AF%B9%E7%A7%B0%E5%AE%9E%E7%9F%A9%E9%98%B5$

$%E8%8B%A5A%5E2%2BB%5E2%3DC%5E2%2C%E8%AF%81%E6%98%8E%EF%BC%9AA%3DB%3DC%3DO$

$%E8%AF%81%EF%BC%9A$

$A%3DA%5ET%2CB%3DB%5ET%2CC%5ET%3D-C$

$A%3D(a_%7Bij%7D)%2CB%3D(b_%7Bij%7D)%2CC%3D(c_%7Bij%7D)$

$%E6%88%91%E4%BB%AC%E5%AE%B9%E6%98%93%E5%BE%97%E5%88%B0a_%7Bij%7D%3Da_%7Bji%7D%2Cb_%7Bij%7D%3Db_%7Bji%7D$

$%E4%B8%94c_%7Bij%7D%3D-c_%7Bji%7D$

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$A%5E2%3D%5Cbegin%20%7Bpmatrix%7D%20(a_%7B11%7D%5E2%2B%5Ccdots%20%2Ba_%7B1n%7D%5E2)%20%26%5Ccdots%20%26%5Ccdots%20%26%5Ccdots%5C%5C%5Ccdots%0A%26%20%20(a_%7B21%7D%5E2%2B%5Ccdots%20%2Ba_%7B2n%7D%5E2)%20%26%5Ccdots%20%26%5Ccdots%20%5C%5C%5Ccdots%0A%26%5Ccdots%20%26%20%5Ccdots%20%26%5Ccdots%20%5C%5C%20%5Ccdots%0A%26%5Ccdots%26%5Ccdots%20%26%20(a_%7Bn1%7D%5E2%2B%5Ccdots%20%2Ba_%7Bnn%7D%5E2)%20%20%5Cend%7Bpmatrix%7D$

$B%5E2%3D%5Cbegin%20%7Bpmatrix%7D%20(b_%7B11%7D%5E2%2B%5Ccdots%20%2Bb_%7B1n%7D%5E2)%20%26%5Ccdots%20%26%5Ccdots%20%26%5Ccdots%5C%5C%5Ccdots%0A%26%20%20(b_%7B21%7D%5E2%2B%5Ccdots%20%2Bb_%7B2n%7D%5E2)%20%26%5Ccdots%20%26%5Ccdots%20%5C%5C%5Ccdots%0A%26%5Ccdots%20%26%20%5Ccdots%20%26%5Ccdots%20%5C%5C%20%5Ccdots%0A%26%5Ccdots%26%5Ccdots%20%26%20(b_%7Bn1%7D%5E2%2B%5Ccdots%20%2Bb_%7Bnn%7D%5E2)%20%20%5Cend%7Bpmatrix%7D$

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$%20-(c_%7Bi1%7D%5E2%2B%5Ccdots%20%2Bc_%7Bin%7D%5E2)%5Cleq%200$

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$%E6%9C%80%E5%90%8EA%3DB%3DC%3DO$

2.(西南大学)

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$%E5%AD%98%E5%9C%A8%E4%B8%80%E4%B8%AA%E5%8F%AF%E9%80%86n%E9%98%B6%E6%96%B9%E9%98%B5P%E4%BD%BF%E5%BE%97$

$A%3DP%5Cbegin%20%7Bpmatrix%7D%20%5Clambda_1%20%26%20%26%20%26%5C%5C%5C%0A%26%20%5Clambda_2%20%26%5C%20%26%5C%5C%5C%0A%26%26%20%5Ccdots%20%26%5C%5C%0A%26%26%26%20%5Clambda_n%20%20%5Cend%7Bpmatrix%7DP%5E%7B-1%7D%3DP%5CLambda_aP%5E%7B-1%7D$

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