In: Math
(2) A matrix A is given. Find, if possible, an invertible matrix P and a diagonal matrix D such that P −1AP = D. Otherwise, explain why A is not diagonalizable.
(a) A = −3 0 −5
0 2 0
2 0 3
(b) A = 2 0 −1
1 3 −1
2 0 5
(c) A = 1 −1 2
−1 1 2
2 2 2
Solution : ( 2 )
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