0001.tex

\begin{exercise}{M4}{Finding a matrix inverse}{0001}
\begin{exerciseStatement}

Show how to find the inverse of the matrix \(M= \left[\begin{array}{cccc}
3 & 2 & -4 & 2 \\
-2 & -1 & 1 & -4 \\
-1 & -1 & 4 & 3 \\
-2 & -1 & 2 & -2
\end{array}\right] \).

\end{exerciseStatement}
\begin{exerciseAnswer}\[M^{-1}= \left[\begin{array}{cccc}
1 & 4 & 2 & -4 \\
4 & 2 & 2 & 3 \\
2 & 3 & 2 & -1 \\
-1 & -2 & -1 & 1
\end{array}\right] \]\end{exerciseAnswer}
\end{exercise}