Question: Diagonalize the matrix A, if possible. That is, find an invertible matrix P and a diagonal matrix D such that A- PDP-1. - 6 0

Diagonalize the matrix A, if possible. That is, find an invertible matrix P and a diagonal matrix D such that A- PDP-1. - 6 0 0 0 0 -60 0 A = 1 -4 6 0 2 0 6 O 12 24 0 0] -6 0 0 0 6 P = 60 0 0-60 0 1 010 , D= 0 O 0 0 101 0 6 O [12 -6 1 0] 6 0 0 P = 24 -6 0 0 , D = 0 6 0 0 010 0 0-6 0 0 0 0 1 10 0 0 - 6 Not diagonalizable O 12 24 0 0 6 O O P = -6 -60 0 , D= 0 6 0 0 1 0 0 0 -6 0 1 0 0 0 - 6

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