Problem:
Find the eigenvectors of the following matrix:
$\left(
\begin{array}{cc}
 4 & -4 \\
 6 & -4 \\
\end{array}
\right)$.
Answer:
${\left\{\frac{1}{3} i \left(\sqrt{2}-2 i\right),1\right\}, \left\{-\frac{1}{3} i \left(\sqrt{2}+2 i\right),1\right\}}$
{'source': 'AMPS', 'file': 'amps/mathematica/linear_algebra/eigenvectors/12200.txt'}