0006.tex

\begin{exercise}{M4}{Finding a matrix inverse}{0006}
\begin{exerciseStatement}

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

\end{exerciseStatement}
\begin{exerciseAnswer}\[P^{-1}= \left[\begin{array}{cccc}
-6 & -2 & -1 & 0 \\
6 & 2 & 0 & 1 \\
-53 & -17 & -4 & -5 \\
13 & 4 & 1 & 1
\end{array}\right] \]\end{exerciseAnswer}
\end{exercise}