(Burnside)奇数阶斜对称方阵的行列式恒为零, 而偶数阶斜对称方阵的行列式是一个完全平方.
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(Minkowski)
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(Lovy-Desplanques)主角占优矩阵的行列式不为零.
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矩阵
上三角方阵的乘积仍是上三角
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上三角方阵A 为幂零的充分必要条件是A 的对角元素全为零, 并且A 的幂零指数不超过它的阶数
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Binet-Cauchy
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Schur公式
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本文标题:线性代数和矩阵论
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