Problem:
Find the characteristic polynomial of the following matrix:
$\left(
\begin{array}{ccc}
 4 & 8 & -2 \\
 -7 & -3 & 5 \\
 -2 & -8 & -2 \\
\end{array}
\right)$
Answer:
$-x^3-x^2-78 x-108$
{'source': 'AMPS', 'file': 'amps/mathematica/linear_algebra/characteristic_polynomial/1294.txt'}