0004.tex

\begin{exercise}{M4}{Finding a matrix inverse}{0004}
\begin{exerciseStatement}

Show how to find the inverse of the matrix \(M= \left[\begin{array}{cccc}
-3 & 1 & -1 & -1 \\
-1 & 0 & 0 & 1 \\
1 & 1 & 4 & 8 \\
-2 & 0 & -2 & -3
\end{array}\right] \).

\end{exerciseStatement}
\begin{exerciseAnswer}\[M^{-1}= \left[\begin{array}{cccc}
-2 & -3 & 2 & 5 \\
-2 & -5 & 3 & 7 \\
5 & 6 & -5 & -13 \\
-2 & -2 & 2 & 5
\end{array}\right] \]\end{exerciseAnswer}
\end{exercise}