Question: 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

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 PBkp 1 where k is a positive integer Use the result above to find the indicated power of A 4 0 4 A4 A 5 6 1 4 A4 0 6 000 00

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