Question: (a) Give a counterexample to show that (AB)-1 A-1 B-1 in general. (b) Under what conditions on A and B is (AB)-1 = A-1

(a) Give a counterexample to show that (AB)-1 ≠ A-1 B-1 in general.
(b) Under what conditions on A and B is (AB)-1 = A-1 B-1? Prove your assertion.

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