Problem:
Find the characteristic polynomial of the following matrix:
$\left(
\begin{array}{ccc}
 -\frac{5}{2} & \frac{1}{8} & \frac{109}{16} \\
 -\frac{37}{16} & -\frac{105}{16} & -\frac{65}{16} \\
 -\frac{9}{2} & -\frac{1}{16} & \frac{19}{8} \\
\end{array}
\right)$
Answer:
$-x^3-\frac{107 x^2}{16}-\frac{6547 x}{256}-\frac{645635}{4096}$
{'source': 'AMPS', 'file': 'amps/mathematica/linear_algebra/characteristic_polynomial/25838.txt'}