Given the matrix A below, find the three matrices that will diagonalize it into A = PDP-¹. Use Mathematica to find the components of P and D, then to find P-¹. Verify that your matrices multiply together to yield the original matrix A. 4 0 A = 6 9 15 4 2 3 1 -2 -2 2 11 2 -4 10 10 -6 14 5 -3 12 20 28

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