V3.xml

<?xml version='1.0' encoding='UTF-8'?>
<exercise xmlns="https://spatext.clontz.org" version="0.0">
  <statement>
      <p>Consider the following statement.</p>
        <ul><li> The set of vectors <m>{{vecset}}</m> 
            {{#prompt}}
                spans
            {{/prompt}}
            {{^prompt}}
                does not span
            {{/prompt}}
            <m>\mathbb{R}^4</m>.
        </li></ul>
    <ol>
        <li> Write an equivalent statement using a vector equation.</li>
        <li> Explain why your statement is true or false.</li>
    </ol>
  </statement>
  <answer>
     <p><me>\operatorname{RREF}{{matrix}}={{rref}}</me></p>
     <ol>
         <li>
             The vector equation <m>{{vecComb}}=\vec{v}</m> 
             {{#prompt}}
                 has a solution for every
             {{/prompt}}
             {{^prompt}}
                 is inconsistent for some
             {{/prompt}}
             vector <m>\vec{v}</m> in <m>\mathbb{R}^4</m>.
         </li>
         <li>
            The set of vectors <m>{{vecset}}</m>
            {{#prompt}}
                spans
            {{/prompt}}
            {{^prompt}}
                does not span
            {{/prompt}}
            <m>\mathbb{R}^4</m>.
         </li>
       </ol>
  </answer>
</exercise>