Find an invertible matrix P and a diagonal matrix D such that PAP=D. -20 0 A = -4 0 -4 0 0 -2 0 0 0 0 0 0 P = |0 0 0 D= 0 0 0 0 0 0 0 0 0

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Q: Diagonalize the following matrix: 1 13 5 7 -5 -7 -1 -1 7 90 06 0 00-12 060 − 1 1 − 1| -1 0 1 1 10 1…

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Q: Find matrices P, D and P-1 that diagonalize matrix A, where A = P = D= P-1 20 0 -11 -2 -3 -30 -1

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Q: X = 8 8 3 3 ; A = 2 42 0 1 -2 -3 7 3 3 2 9

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Q: A = [2 -1 0 1; 3 5 7 -1; 1 4 2 7] List the row and column vectors of the matrix.

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Q: Let -1 1 A = -1 1 -1 -3 3 Find an upper triangular matrix which is orthogonally similar to A.

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Q: Find an invertible matrix P and a diagonal matrix D such that P¹AP=D. -10 0 4 A = 0 2 0 24 0 10 000…

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Q: Diagonalize the following matrix: 1 13 5 7 -5 -7 -1 -1 7 not diagonalizable 60 0 -1 1 1 0-9 0 = 0 1…

A: Solution:-