Mathematics, 13.11.2019 00:31 AM28

Let a be an n x n matrix, and z: = {b in mnxn | ab=ba}. (this z is called the centralizer of a.) show: * z is a vector subspace of mnxn* z is a subring of mnxn* the centralizers of conjugate matrices are isomorphic rings.* dim(z) is at least n.

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Let a be an n x n matrix, and z: = {b in mnxn | ab=ba}. (this z is called the centralizer of a.) sho...

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