Question: 50 -1 3 (3) Let A = 0 0 24 0 0 3 6 0 0 1 2 a.) (8 pts) Find the characteristic polynomial

50 -1 3 (3) Let A = 0 0 24 0 0 3 6 0 0 1 2 a.) (8 pts) Find the characteristic polynomial of A: b.) (12 pts) For each of the eigenvalues of A, find a basis for its eigenspace: For 1 - 0: For A - 5: c.) (6 pts) Is A diagonalizable? If yes, give the matrix P and the diagonal matrix D so that P-1 AP = D

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