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Suppose that A, B, C E Mnxn(IR) are three invertible matrices, and t E R, t * 0. Determine whether each statement is true or

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Suppose that A, B, C E Mnxn(IR) are three invertible matrices, and t E R, t * 0. Determine whether each statement is true or false: 1. If AB = AC, then B = C O True O False 2. If BA = CA, then B = C O True O False 3. (tA) -1 = tA-1 O True O False 4. (AB) -1 = A B-1 O True O False 5. (AB) T = AT BT O True O False 6. (AT )-1 = (A-1)T O True O False

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