Diagonalize the following matrix: 1 7 - 1 13 5 -5 -7 - 1 7 not diagonalizable 6 0 0 -9 0 0 - 12 90 0 06 0 00 - 12 9 0 0 6 0 0 0 - 0 = 0 0 - 12 = - 1 1 1 0 1 1 1 1 1 11 1 - 1 0 1 1 10 1 1 1 – 1 01 1 = 1 - - 1 L 13 5 1 7 -5 -1 -1 -7 7 1 13 5 7 -5 -7 1 - 1 7 1 13 7 5 -5 -7 1 1 7 1 1 1 0 1 -1 1 1 1 1 1 - 1 0 1 1 - 1 1 0 1 - 1 1 0 - 1 - 1 1

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