In: Math
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