I know that two matrices anticommute when AB = -BA

However, apparently for n x n matrices when n is odd, either A or B is not invertible. But when n is even, both can be invertible

Why is this the case?

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- May 1st 2009, 07:14 AMcubs3205Anticommuting matricies
I know that two matrices anticommute when AB = -BA

However, apparently for n x n matrices when n is odd, either A or B is not invertible. But when n is even, both can be invertible

Why is this the case? - May 1st 2009, 07:49 AMOpalg