<exercise>
<statement>
<p>Consider the following homogeneous system of equations.</p>
<me><xsl:value-of select="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}<xsl:value-of select="matrix"/>=<xsl:value-of select="rref"/></me></p>
<ol>
<li>The solution space is <m><xsl:value-of select="solutions"/></m> </li>
<li>A basis of the solution space is <m><xsl:value-of select="basis"/></m>.</li>
</ol>
</answer>
</exercise>