<?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 vector <m>{{combovector}}</m> is {{^statement}}not {{/statement}}
a linear combination of the vectors <m>{{veclist}}</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>
<me>\operatorname{RREF} {{matrix}}={{rref}}</me>
<ol>
<li>
The vector equation <m>{{veceq}}</m> has
{{#statement}}
a solution.
{{/statement}}
{{^statement}}
no solutions.
{{/statement}}
</li>
<li>
<p>
<m>{{combovector}}</m> is {{^is_linear_combo}}not {{/is_linear_combo}}
a linear combination of the vectors <m>{{veclist}}</m>.
</p>
</li>
</ol>
</answer>
</exercise>
