Consider the following matrix: A = The following vectors are linearly independent eigenvectors of A: = 3 6 -3 2 0 -3 0 --0-0--0 2 V2 = 2 V3 = 2 6 6 -6 Diagonalize the matrix A, i.e. find an invertible matrix P and a diagonal matrix D such that A = PDP-1

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