Answer
\[
M=
\left[ {\begin{array}{cc}
-2 & 3 & -1&-2\\
0 & -1 & 0& 1/2 \\
-2 & 2 & -1&-2\\
-1 & -1 & -1 & 0 \\
\end{array} } \right]
\]
Work Step by Step
We plug this into a graphing calculator as stated in the book. It is important to remember the calculator will find the inverse by solving for a second matrix, and thus the answer will be a decimal on most calculator. If using a TI calculator, pushing $\triangle frac$ will put the answer into fractions.
After doing above we get...
\[
M=
\left[ {\begin{array}{cc}
-2 & 3 & -1&-2\\
0 & -1 & 0& 1/2 \\
-2 & 2 & -1&-2\\
-1 & -1 & -1 & 0 \\
\end{array} } \right]
\]