True or False? In Exercises 71 and 72, determine whether

Chapter 2, Problem 2.3.71

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True or False? In Exercises 71 and 72, determine whether each statement is true or false. If a statement is true, give a reason or cite an appropriate statement from the text. If a statement is false, provide an example that shows the statement is not true in all cases or cite an appropriate statement from the text.(a) If the matrices A, B, and C satisfy BA = CA and Ais invertible, then B = C.(b) The inverse of the product of two matrices is theproduct of their inverses; that is, (AB)1 = A1B1.(c) If A can be row reduced to the identity matrix, thenA is nonsingular.

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