Problem:
Find the eigenvectors of the following matrix:
$\left(
\begin{array}{cc}
 \frac{5}{3} & \frac{13}{3} \\
 \frac{5}{3} & -\frac{4}{3} \\
\end{array}
\right)$.
Answer:
${\left\{\frac{1}{10} \left(9-\sqrt{341}\right),1\right\}, \left\{\frac{1}{10} \left(9+\sqrt{341}\right),1\right\}}$
{'source': 'AMPS', 'file': 'amps/mathematica/linear_algebra/eigenvectors/26502.txt'}