0000.ptx

<exercise checkit-seed="0000" checkit-slug="G3" checkit-title="Eigenvalues">
  <statement>
    <p>Explain how to find the eigenvalues of the matrix <m> \left[\begin{array}{cc}
-2 &amp; 1 \\
18 &amp; 1
\end{array}\right] </m>.</p>
  </statement>
  <answer>
    <p>The characteristic polynomial of <m> \left[\begin{array}{cc}
-2 &amp; 1 \\
18 &amp; 1
\end{array}\right] </m> is <m> \lambda^{2} + \lambda - 20 </m>.</p>
    <p>The eigenvalues of <m> \left[\begin{array}{cc}
-2 &amp; 1 \\
18 &amp; 1
\end{array}\right] </m> are <m> -5 </m> and <m> 4 </m>.</p>
  </answer>
</exercise>