Question: Problem 2.1 (10 points) Let the two square matrices A and B fulfill the equality AB = BA. Prove that then Am Bn = B

Problem 2.1 (10 points) Let the two square matrices A and B fulfill the equality AB = BA. Prove that then Am Bn = B" Am for any integer m, n 2 1. Problem 2.2 (10 points) Let the square matrix P fulfills the equality P2 = P. Prove that then Pn = P and (1 - P)" = I - P for any integer n > 2

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