0009.tex

\begin{exercise}{M4}{Finding a matrix inverse}{0009}
\begin{exerciseStatement}

Show how to find the inverse of the matrix \(A= \left[\begin{array}{cccc}
1 & 0 & 0 & -1 \\
1 & 1 & -2 & -7 \\
3 & 0 & 1 & 2 \\
5 & 0 & 0 & -4
\end{array}\right] \).

\end{exerciseStatement}
\begin{exerciseAnswer}\[A^{-1}= \left[\begin{array}{cccc}
-4 & 0 & 0 & 1 \\
13 & 1 & 2 & -4 \\
22 & 0 & 1 & -5 \\
-5 & 0 & 0 & 1
\end{array}\right] \]\end{exerciseAnswer}
\end{exercise}