What are the Eigenvalues and Eigenvectors of a Matrix?

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