<?xml version='1.0' encoding='UTF-8'?>
<exercise xmlns="https://spatext.clontz.org" version="0.0">
<statement>
<p>Consider the following homogeneous system of equations.</p>
<me>{{system}}</me>
<ol>
<li> Find the solution space of this system.</li>
<li> Find a basis of the solution space.</li>
</ol>
</statement>
<answer>
<p><me>\operatorname{RREF}{{matrix}}={{rref}}</me></p>
<ol>
<li>The solution space is <m>{{solutions}}</m> </li>
<li>A basis of the solution space is <m>{{basis}}</m>.</li>
</ol>
</answer>
</exercise>