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4. Let B= -4 2 2 -6 3 -4 2 -3 and A = 3B3 + 5B. = a (a) [8 points) Find all eigenvalue(s) of B. (b) [12 points] Find a m
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- 4 Let B 4 2 2 6 3 4 2 3 And A 3b3 5b A A 8 Points Find All Eigenvalue S Of B B 12 Points Find A M 1 (198.51 KiB) Viewed 24 times
4. Let B= -4 2 2 -6 3 -4 2 -3 and A = 3B3 + 5B. = a (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-1BP 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. = ************* ***************End of exam paper************************************