Question: Determine whether the statement below is true or false. Justify the answer. If A and B are n xn and invertible, then ABis the inverse

Determine whether the statement below is true or false. Justify the answer. If A and B are n xn and invertible, then ABis the inverse of AB. Choose the correct answer below. O A. The statement is true. The following equalities hold, A B 1 =B A 1 = (AB) 1. O B. The statement is false. The inverse of AB is B 1A- 1. O C. The statement is true. The following equalities hold, (AB) = (BA) 1 = A 1B- 1. O D. The statement is false. The inverse of AB is AB

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