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## Homework Statement

Find the eigenvalues and eigenvectors for the matrix [{13,5},{2,4}]

## Homework Equations

None

## The Attempt at a Solution

Well eigenvalues is easy, and turn out to be 14 and 3.

So using eigenvalue 3, the two equations 10x

_{1}+ 5x

_{2}=0 and 2x

_{1}+ x

_{2}=0. Using these, I assumed the eigenvector to be [1,-2] but after putting it into Wolfram (or mathematica) it gives out the vector should be [-1,2]. Is there a difference? How should you discern between the two if not and where have I gone wrong if there is?