14 -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
Posted: Tue May 10, 2022 6:26 am
14 -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. (©) [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.