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The 3 x 3 matrix A has eigenvalues 5 and 4. (a) Write the characteristic polynomial...

The 3 x 3 matrix A has eigenvalues 5 and 4.

(a) Write the characteristic polynomial of A.

(b) Is A diagonalizable ? Explain your answer. If A is diagonalizable, find an invertible matrix P and diagonal matrix D that diagonalize A.

Matrix A :

4 0 -2

2 5 4

0 0 5

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