<?xml version='1.0' encoding='UTF-8'?>
<exercise xmlns="https://spatext.clontz.org" version="0.0">
<statement>
{{#prompt}}
{{#sys}}
<p> Consider the system of equations</p>
<me>{{system}}</me>
<ol>
<li> Write an augmented matrix corresponding to this system. </li>
<li> Write a vector equation corresponding to this system. </li>
</ol>
{{/sys}}
{{#mat}}
<p> Consider the augmented matrix </p>
<me>{{matrix}}</me>
<ol>
<li> Write a system of scalar equations corresponding to this augmented matrix. </li>
<li> Write a vector equation corresponding to this augmented matrix. </li>
</ol>
{{/mat}}
{{#vec}}
<p>Consider the vector equation.</p>
<me>{{vectorequation}}</me>
<ol>
<li> Write a system of scalar equations corresponding to this vector equation. </li>
<li> Write an augmented matrix corresponding to this vector equation. </li>
</ol>
{{/vec}}
{{/prompt}}
</statement>
<answer>
<ol>
{{#prompt}}
{{#sys}}
<li><me>{{matrix}}</me></li>
<li><me>{{vectorequation}}</me></li>
{{/sys}}
{{#mat}}
<li><me>{{system}}</me></li>
<li><me>{{vectorequation}}</me></li>
{{/mat}}
{{#vec}}
<li><me>{{system}}</me></li>
<li><me>{{matrix}}</me></li>
{{/vec}}
{{/prompt}}
</ol>
</answer>
</exercise>