V6.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> is
            {{#prompt}}not {{/prompt}}
            a basis of <m>\mathbb{R}^{{dim}}</m>.
        </li></ul>
    <ol>
        <li> Write an equivalent statement in terms of other vector properties.</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 set of vectors <m>{{vecset}}</m> 
                {{#prompt}}
                    both spans <m>\mathbb{R}^{{dim}}</m> and is linearly independent.
                {{/prompt}}
                {{^prompt}}
                    either doesn't span <m>\mathbb{R}^{{dim}}</m> or is linearly dependent.
                {{/prompt}}
         </li>
         <li>
                The set of vectors <m>{{vecset}}</m> is {{^basis}}not {{/basis}}
                a basis of <m>\mathbb{R}^{{dim}}</m>
         </li>
      </ol>
  </answer>
</exercise>