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 -21 1 -2 -2 2 12 20 28 14 11 2 -4 10 10 -6 5

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A:

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A: Let's find.

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A: