# Find the unit eigenvectors

1. Apr 9, 2009

### squaremeplz

1. The problem statement, all variables and given/known data

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

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

2. Relevant equations

det(A - hI) = 0

3. 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!

Last edited: Apr 9, 2009
2. Apr 9, 2009

Looks good!