0009.ptx

<exercise checkit-seed="0009" checkit-slug="M4" checkit-title="Finding a matrix inverse">
  <statement>
    <p>Show how to find the inverse of the matrix <m>A= \left[\begin{array}{cccc}
1 &amp; 0 &amp; 0 &amp; -1 \\
1 &amp; 1 &amp; -2 &amp; -7 \\
3 &amp; 0 &amp; 1 &amp; 2 \\
5 &amp; 0 &amp; 0 &amp; -4
\end{array}\right] </m>.</p>
  </statement>
  <answer>
    <me>A^{-1}= \left[\begin{array}{cccc}
-4 &amp; 0 &amp; 0 &amp; 1 \\
13 &amp; 1 &amp; 2 &amp; -4 \\
22 &amp; 0 &amp; 1 &amp; -5 \\
-5 &amp; 0 &amp; 0 &amp; 1
\end{array}\right] </me>
  </answer>
</exercise>