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如方块矩阵A的共轭转置A*也是其负数,则A是斜厄米矩阵或反厄米矩阵(英语:skew-Hermitian matrix、anti-Hermitian matrix):
或者,如A = (ai,j):
对于所有i和j。
例如,以下矩阵便是斜厄米矩阵:
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