\begin{exercise}{M4}{Finding a matrix inverse}{0005}
\begin{exerciseStatement}
Show how to find the inverse of the matrix \(N= \left[\begin{array}{cccc}
-1 & 1 & -2 & -3 \\
1 & -2 & 4 & 3 \\
-1 & 2 & -3 & -4 \\
0 & -2 & 7 & -2
\end{array}\right] \).
\end{exerciseStatement}
\begin{exerciseAnswer}\[N^{-1}= \left[\begin{array}{cccc}
4 & 14 & 9 & -3 \\
-5 & -9 & -4 & 2 \\
-2 & -4 & -2 & 1 \\
-2 & -5 & -3 & 1
\end{array}\right] \]\end{exerciseAnswer}
\end{exercise}