Find the eigenvalues and eigenvectors of $\displaystyle A = \left(\begin{array}{cc}1&3\\3&1\end{array}\right)$.

I have found the eigenvalues for this problem being $\displaystyle \lambda1 = 0$ and $\displaystyle \lambda2 = 2$.

My problem is i'm having trouble working out the corrosponding eigenvectors.