Question

In: Math

(2) A matrix A is given. Find, if possible, an invertible matrix P and a diagonal...

(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

Solutions

Expert Solution

Solution : ( 2 )

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