Question: -8 -24 -12 Let A = 0 4 0 12 10 (a) [4 points] Find the eigenvalues of A. (b) [6 points] For each eigenvalue

 -8 -24 -12 Let A = 0 4 0 12 10

-8 -24 -12 Let A = 0 4 0 12 10 (a) [4 points] Find the eigenvalues of A. (b) [6 points] For each eigenvalue > of A, find a basis for the eigenspace of 1. (b) [6 points] Is the matrix A diagonalizable? If so, find matrices D and P such that D is a diagonal matrix and A = PDP-1. If not, explain carefully why not

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