题目内容
已知A、B、C均为n阶矩阵，其中C可逆，若AXA-BXB=AXB-BXA+C，则X=（）。
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设A，B均为n阶矩阵，则下列运算中， ①|A+B|=|A|+|B| ②|A-B|=-|B-A| ③|AB|=|BA| ④|ATB|=|BTA| ⑤||A|B|=||B|A| 恒正确的个数为（）。
设A、B、C均为n阶矩阵。 ①若A≠B，则|A|≠|B| ②若AB=AC，且A≠0，则B=C ③若A2=E，且A≠E，则A=-E ④若A可逆，且A-1B=CA-1，则B=C 则上述命题中，正确的命题个数为（）。
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设A、B均为n阶对称矩阵，那么不是对称矩阵的是（）。
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