Question: Suppose both A, B E R are invertible with inverses A B- respec- tively. Verify that B-A- is the inverse matrix of AB by computing

Suppose both A, B E R"" are invertible with inverses A B- respec- tively. Verify that B-A- is the inverse matrix of AB by computing (B-'A )(AB). So AB is invertible if both A and B are, and (AB)-1 B-1A-(notice the order flipping). Similarly (ABC)-1 = C-1B-1A-1.]

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