What are the Eigenvalues and Eigenvectors of a Matrix?

[Jocey13]

Homework Statement

Let: a matrix be: -5 -0.5
-0 -8


Find an invertible P and a diagonal D such that PDP(inverse)

Homework Equations

DET( (I)Lamda-A))= 0 for Eigenvalues

The Attempt at a Solution

when y=0 at the end matrix for finding the eigenvectors how do i make that a P

 

[ircdan]

what are your eigenvalues? P is a matrix whose columns will be the eigenvectors of A