Question: (a) Decide whether the matrix -1 A = 2 -3 is diagonalizable, and diagonalize it if so. Justify your answer fully. You may use the

(a) Decide whether the matrix -1 A = 2 -3 is diagonalizable, and diagonalize it if so. Justify your answer fully. You may use the fact that the characteristic polynomial of A is CA(x) = -(2+3)?(2 - 4). (b) Repeat part (a) with the matrix 6 -8 10 B = -5 -1 -4 9 You may use the fact that the characteristic polynomial of B is CB(T) = -(x+3)?(x - 4)

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