Problem:
Find the eigenvectors of the following matrix:
$\left(
\begin{array}{cc}
 4 & 3 \\
 8 & 7 \\
\end{array}
\right)$.
Answer:
${\left\{\frac{1}{16} \left(-3-\sqrt{105}\right),1\right\}, \left\{\frac{1}{16} \left(\sqrt{105}-3\right),1\right\}}$
{'source': 'AMPS', 'file': 'amps/mathematica/linear_algebra/eigenvectors/28524.txt'}