0003.tex

\begin{exercise}{M4}{Finding a matrix inverse}{0003}
\begin{exerciseStatement}

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

\end{exerciseStatement}
\begin{exerciseAnswer}\[A^{-1}= \left[\begin{array}{cccc}
1 & 1 & -2 & -4 \\
0 & 1 & -3 & -5 \\
0 & 0 & -4 & -5 \\
0 & 0 & 1 & 1
\end{array}\right] \]\end{exerciseAnswer}
\end{exercise}