Problem:
Find the determinant of the matrix
$\left(
\begin{array}{ccc}
 \frac{7}{2} & \frac{7}{2} & -\frac{3}{2} \\
 \frac{7}{2} & 3 & -2 \\
 -\frac{1}{2} & -\frac{9}{2} & -\frac{9}{2} \\
\end{array}
\right)$.
Answer:
$\frac{5}{4}$
{'source': 'AMPS', 'file': 'amps/mathematica/linear_algebra/determinant/45407.txt'}