Question: Prove Theorem 3.9(b). b. If A is an invertible matrix and c is a nonzero scalar, then cA is an invertible matrix and 1 (CA)1

Prove Theorem 3.9(b).

b. If A is an invertible matrix and c is a nonzero scalar, then cA is an invertible matrix and

1 (CA)1 = -A-1

1 (CA)1 = -A-1

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