<exercise>
<statement>
<p>Consider the homogeneous system of equations
<md alignment="alignat">
<xsl:attribute name="alignat-columns"><xsl:value-of select="alignCols"/></xsl:attribute>
<xsl:for-each select="system/*">
<mrow><xsl:value-of select="."/></mrow>
</xsl:for-each>
</md>
</p>
<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>