Question: 6. (20 points) Let A be a 5 x 5 matrix. The eigenvalues of A are 1 = 3 and A = -2. A basis

6. (20 points) Let A be a 5 x 5 matrix. The eigenvalues of A are 1 = 3 and A = -2. A basis for the eigenspace corresponding to 1 = 3 is given by {71, U2, 13} where U1 = and U3 = -1 A basis for the eigenspace corresponding to 1 = -2 is given by {w1 } where W1 = AOL a. Compute A3w1. b. Determine if A is diagonalizable. If yes, find an invertible matrix P and a diagonal matrix D such that A = PDP-1. If no, explain how you know

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