4 -2 2 4. Let A= 6 -3 4 and B = 5A3 + 3A. 3 -2 3 (a) [8 points) Find all eigenvalue(s) of A. (b) [12 points) Find a maxi

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4 2 2 4 Let A 6 3 4 And B 5a3 3a 3 2 3 A 8 Points Find All Eigenvalue S Of A B 12 Points Find A Maxi 1 (43.63 KiB) Viewed 37 times

4 -2 2 4. Let A= 6 -3 4 and B = 5A3 + 3A. 3 -2 3 (a) [8 points) Find all eigenvalue(s) of A. (b) [12 points) Find a maximum set S of linearly independent eigenvectors of A, i.e., a set S which has the maximum number of linearly independent eigenvectors of A. (c) (4 points) Determine whether A is diagonalizable. If yes, find P such that D=P-1AP is diago- nal. If not, justify your answer. (d) [6 points] Is B diagonalizable? If yes, find a diagonal matrix Q such that B = PQP-1. If not, justify your answer.