Question: Need help with this problem, please show work. Let A be a diagonalizable n x n matrix and let P be an invertible n x

Need help with this problem, please show work.

Let A be a diagonalizable n x n matrix and let P be an invertible n x n matrix such that B = P AP is the diagonal form of A. Prove that AK = PB*P ], where k is a positive Integer. Use the result above to find the indicated power of A. A = A6= 1

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