<div class="checkit exercise" data-checkit-slug="G3" data-checkit-title="Eigenvalues" data-checkit-seed="0001">
  <div class="exercise-statement">
    <p>Explain how to find the eigenvalues of the matrix <span class="math math-inline">\( \left[\begin{array}{cc}
3 &amp; 2 \\
2 &amp; 3
\end{array}\right] \)</span>.</p>
  </div>
  <div class="exercise-answer">
    <p>
      <b>Answer:</b>
    </p>
    <p>The characteristic polynomial of <span class="math math-inline">\( \left[\begin{array}{cc}
3 &amp; 2 \\
2 &amp; 3
\end{array}\right] \)</span> is <span class="math math-inline">\( \lambda^{2} - 6 \lambda + 5 \)</span>.</p>
    <p>The eigenvalues of <span class="math math-inline">\( \left[\begin{array}{cc}
3 &amp; 2 \\
2 &amp; 3
\end{array}\right] \)</span> are <span class="math math-inline">\( 1 \)</span> and <span class="math math-inline">\( 5 \)</span>.</p>
  </div>
</div>



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