Problem:
Find the characteristic polynomial of the following matrix:
$\left(
\begin{array}{ccc}
 \frac{7}{2} & 0 & \frac{8}{3} \\
 -\frac{17}{6} & \frac{31}{6} & \frac{5}{3} \\
 -\frac{35}{6} & \frac{22}{3} & -\frac{7}{6} \\
\end{array}
\right)$
Answer:
$-x^3+\frac{15 x^2}{2}-\frac{407 x}{36}-\frac{8405}{216}$
{'source': 'AMPS', 'file': 'amps/mathematica/linear_algebra/characteristic_polynomial/19922.txt'}