Question: Let A, B, and C be x n matrices, with A and B invertible. Show that (a) If A commutes with C, then A-1

Let A, B, and C be « x n matrices, with A and B invertible. Show that
(a) If A commutes with C, then A-1 commutes with C.
(b) If A commutes with B, then A-l commutes with B-1

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