Problem:
Compute the nullity of
$\left(
\begin{array}{cccc}
 6 & -\frac{39}{4} & -\frac{11}{2} & \frac{15}{4} \\
 7 & \frac{1}{2} & \frac{17}{4} & \frac{37}{4} \\
 \frac{3}{2} & \frac{27}{4} & 0 & -\frac{11}{4} \\
 -\frac{11}{4} & \frac{21}{4} & -\frac{13}{2} & -\frac{29}{4} \\
 \frac{11}{2} & 1 & \frac{29}{4} & -\frac{9}{2} \\
\end{array}
\right)$.
Answer:
$0$
{'source': 'AMPS', 'file': 'amps/mathematica/linear_algebra/rank_and_nullity/44662.txt'}