0002.tex

\begin{exercise}{M4}{Finding a matrix inverse}{0002}
\begin{exerciseStatement}

Show how to find the inverse of the matrix \(P= \left[\begin{array}{cccc}
1 & -1 & 5 & 4 \\
1 & 0 & 4 & 0 \\
-1 & 1 & -4 & -3 \\
-1 & -1 & -6 & 2
\end{array}\right] \).

\end{exerciseStatement}
\begin{exerciseAnswer}\[P^{-1}= \left[\begin{array}{cccc}
4 & 9 & 8 & 4 \\
6 & 7 & 10 & 3 \\
-1 & -2 & -2 & -1 \\
2 & 2 & 3 & 1
\end{array}\right] \]\end{exerciseAnswer}
\end{exercise}