矩阵AB=E能否说A或者B可逆?因为AB=E,所以|AB|=|E|=1不=0,所以A与B皆可逆,且A^(-1)*A*B=A^(-1)*E=A^(-1) 即B=A^(-1) 于是BA=A^(-1)*A=E?应该是这样吧?
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![矩阵AB=E能否说A或者B可逆?因为AB=E,所以|AB|=|E|=1不=0,所以A与B皆可逆,且A^(-1)*A*B=A^(-1)*E=A^(-1) 即B=A^(-1) 于是BA=A^(-1)*A=E?应该是这样吧?](/uploads/image/z/4085006-14-6.jpg?t=%E7%9F%A9%E9%98%B5AB%EF%BC%9DE%E8%83%BD%E5%90%A6%E8%AF%B4A%E6%88%96%E8%80%85B%E5%8F%AF%E9%80%86%3F%E5%9B%A0%E4%B8%BAAB%3DE%2C%E6%89%80%E4%BB%A5%7CAB%7C%3D%7CE%7C%3D1%E4%B8%8D%EF%BC%9D0%2C%E6%89%80%E4%BB%A5A%E4%B8%8EB%E7%9A%86%E5%8F%AF%E9%80%86%2C%E4%B8%94A%5E%28-1%29%2AA%2AB%3DA%5E%28-1%29%2AE%3DA%5E%28-1%29+%E5%8D%B3B%3DA%5E%28-1%29+%E4%BA%8E%E6%98%AFBA%3DA%5E%28-1%29%2AA%3DE%3F%E5%BA%94%E8%AF%A5%E6%98%AF%E8%BF%99%E6%A0%B7%E5%90%A7%3F)
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