Let B= 2 -3 2 -3 -6 3 and A = 3B3 + 5B. - 2 - 4 (a) [8 points) Find all eigenvalue(s) of B. (b) [12 points) Find a maxim

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Let B 2 3 2 3 6 3 And A 3b3 5b 2 4 A 8 Points Find All Eigenvalue S Of B B 12 Points Find A Maxim 1 (19.46 KiB) Viewed 13 times

Let B= 2 -3 2 -3 -6 3 and A = 3B3 + 5B. - 2 - 4 (a) [8 points) Find all eigenvalue(s) of B. (b) [12 points) Find a maximum set S of linearly independent eigenvectors of B, i.e., a set S which has the maximum number of linearly independent eigenvectors of B. (c) (4 points) Determine whether B is diagonalizable. If yes, find P such that Q=P-BP is diago- nal. If not, justify your answer. (d) [6 points] Is A diagonalizable? If yes, find a diagonal matrix D such that A = PDP-1. If not, justify your answer.