Hi. I need help with the final paer of this question. I am including my answers so far. Thanks in advance.

For the given martix A,

[-4 1 1]

[1 5 -1]

[0 1 -3]

a. Find the characteristic polynomail -60+x^3+2x^2-23x

b. Find the eigenvalues 5,-4,-3

c. Find the eigenvectors

[5] [1 1 10]

[-3] [8 0 -1]

[-4] [1 1 1]

The final part is where I need the help- or so I think!- If A is diagonalizable find a matrix P such that P^-1 AP is diagonal.

I just cannot figure it out.

Thanks again in advance.