Problem:
Find the eigenvectors of the following matrix:
$\left(
\begin{array}{cc}
 6 & -1 \\
 7 & -9 \\
\end{array}
\right)$.
Answer:
${\left\{\frac{1}{14} \left(15-\sqrt{197}\right),1\right\}, \left\{\frac{1}{14} \left(15+\sqrt{197}\right),1\right\}}$
{'source': 'AMPS', 'file': 'amps/mathematica/linear_algebra/eigenvectors/21032.txt'}