What are the unit eigenvectors for the matrix A = [5 -2; -2 8]?

[squaremeplz]

Homework Statement

I'm trying to find the unit eigenvectors corresponding to the following matrix

A = [5 -2; -2 8] ; means new row

Homework Equations

det(A - hI) = 0

The Attempt at a Solution

I get lambda = 4 and 9

unit eigenvector corresponding to lambda = 4

x1 = ( -2/sqrt(5), -1/sqrt(5) )^T

unit eigenvector corresponding to lambda = 9

x2 = (1/sqrt(5), -2/sqrt(5) )^T

Could someone please let me know if they get the same result. Thanks!

 

[Billy Bob]

Looks good!