\begin{exercise}{M4}{Finding a matrix inverse}{0000}
\begin{exerciseStatement}
Show how to find the inverse of the matrix \(C= \left[\begin{array}{cccc}
1 & 2 & 4 & -7 \\
-1 & -1 & -2 & 2 \\
-1 & -2 & -3 & 2 \\
-1 & -1 & -3 & 8
\end{array}\right] \).
\end{exerciseStatement}
\begin{exerciseAnswer}\[C^{-1}= \left[\begin{array}{cccc}
-4 & 1 & -3 & -3 \\
-6 & 6 & -7 & -5 \\
6 & -5 & 6 & 5 \\
1 & -1 & 1 & 1
\end{array}\right] \]\end{exerciseAnswer}
\end{exercise}