= 4 -2 2 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 ma

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4 2 2 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 Ma 1 (35.49 KiB) Viewed 20 times

= 4 -2 2 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. =