A4.xml

<?xml version='1.0' encoding='UTF-8'?>
<exercise xmlns="https://spatext.clontz.org" version="0.0">
  <statement>
      <p>
        Let <m>T:\mathbb{R}^{{columns}} \to \mathbb{R}^{{rows}}</m> be the linear transformation given by the standard matrix
        <m>{{matrix}}</m>.
      </p>
      <ol>
            <li><p>Explain why <m>T</m> is or is not injective.</p></li>
            <li><p>Explain why <m>T</m> is or is not surjective.</p></li>
      </ol>
  </statement>
  <answer>
      <p><me>\operatorname{RREF}{{matrix}}={{rref}}</me></p>
      <ol>
          <li>
              <p><m>T</m> is {{^injective}}not {{/injective}} injective.</p>
          </li>
          <li>
              <p><m>T</m> is {{^surjective}}not {{/surjective}} surjective.</p>
          </li>
      </ol>
  </answer>
</exercise>