0004.ptx

<exercise checkit-seed="0004" checkit-slug="M4" checkit-title="Finding a matrix inverse">
  <statement>
    <p>Show how to find the inverse of the matrix <m>M= \left[\begin{array}{cccc}
-3 &amp; 1 &amp; -1 &amp; -1 \\
-1 &amp; 0 &amp; 0 &amp; 1 \\
1 &amp; 1 &amp; 4 &amp; 8 \\
-2 &amp; 0 &amp; -2 &amp; -3
\end{array}\right] </m>.</p>
  </statement>
  <answer>
    <me>M^{-1}= \left[\begin{array}{cccc}
-2 &amp; -3 &amp; 2 &amp; 5 \\
-2 &amp; -5 &amp; 3 &amp; 7 \\
5 &amp; 6 &amp; -5 &amp; -13 \\
-2 &amp; -2 &amp; 2 &amp; 5
\end{array}\right] </me>
  </answer>
</exercise>