Problem:
Find the characteristic polynomial of the following matrix:
$\left(
\begin{array}{ccc}
 \frac{25}{8} & 2 & \frac{21}{8} \\
 -\frac{23}{8} & -\frac{71}{8} & -9 \\
 -\frac{7}{2} & -\frac{51}{8} & -\frac{5}{4} \\
\end{array}
\right)$
Answer:
$-x^3-7 x^2+\frac{4031 x}{64}-\frac{62589}{512}$
{'source': 'AMPS', 'file': 'amps/mathematica/linear_algebra/characteristic_polynomial/36225.txt'}