Problem:
Find the characteristic polynomial of the following matrix:
$\left(
\begin{array}{ccc}
 -\frac{35}{8} & -\frac{29}{8} & -\frac{9}{16} \\
 \frac{117}{16} & -\frac{21}{8} & -\frac{79}{16} \\
 -\frac{13}{2} & \frac{19}{2} & -\frac{9}{2} \\
\end{array}
\right)$
Answer:
$-x^3-\frac{23 x^2}{2}-\frac{14431 x}{128}-\frac{267263}{512}$
{'source': 'AMPS', 'file': 'amps/mathematica/linear_algebra/characteristic_polynomial/36518.txt'}