Problem:
Multiply
$\left(
\begin{array}{cccc}
 -\frac{1}{2} & 0 & 3 & 0 \\
 -\frac{1}{2} & -\frac{3}{2} & 3 & -\frac{1}{2} \\
 3 & 2 & 1 & 1 \\
 2 & 2 & -3 & \frac{5}{2} \\
 -\frac{3}{2} & -1 & -\frac{1}{2} & 1 \\
\end{array}
\right)$ and
$\left(
\begin{array}{cccc}
 \frac{3}{2} & \frac{1}{2} & \frac{1}{2} & 0 \\
 -\frac{5}{2} & 3 & -1 & \frac{1}{2} \\
 2 & -\frac{5}{2} & \frac{3}{2} & \frac{1}{2} \\
 \frac{5}{2} & 1 & 2 & -\frac{3}{2} \\
\end{array}
\right)$.
Answer:
$\left(
\begin{array}{cccc}
 \frac{21}{4} & -\frac{31}{4} & \frac{17}{4} & \frac{3}{2} \\
 \frac{31}{4} & -\frac{51}{4} & \frac{19}{4} & \frac{3}{2} \\
 4 & 6 & 3 & 0 \\
 -\frac{7}{4} & 17 & -\frac{1}{2} & -\frac{17}{4} \\
 \frac{7}{4} & -\frac{3}{2} & \frac{3}{2} & -\frac{9}{4} \\
\end{array}
\right)$
{'source': 'AMPS', 'file': 'amps/mathematica/linear_algebra/multiply/9558.txt'}