<exercise>
<statement>
<p>Let <m>A</m> be a <m>4 \times 4</m> matrix with determinant <m><xsl:value-of select="determinant"/></m>.</p>
<ol>
<li>Let <m><xsl:value-of select="name1"/></m> be the matrix obtained from <m>A</m> by applying the row operation <m><xsl:value-of select="row_op1"/></m>.
What is <m>\operatorname{det}\ <xsl:value-of select="name1"/></m>?</li>
<li>Let <m><xsl:value-of select="name2"/></m> be the matrix obtained from <m>A</m> by applying the row operation <m><xsl:value-of select="row_op2"/></m>.
What is <m>\operatorname{det}\ <xsl:value-of select="name2"/></m>?</li>
<li>Let <m><xsl:value-of select="name3"/></m> be the matrix obtained from <m>A</m> by applying the row operation <m><xsl:value-of select="row_op3"/></m>.
What is <m>\operatorname{det}\ <xsl:value-of select="name3"/></m>?</li>
</ol>
</statement>
<answer>
<ol>
<li><m>\operatorname{det}\ <xsl:value-of select="name1"/>=<xsl:value-of select="det1"/></m></li>
<li><m>\operatorname{det}\ <xsl:value-of select="name2"/>=<xsl:value-of select="det2"/></m></li>
<li><m>\operatorname{det}\ <xsl:value-of select="name3"/>=<xsl:value-of select="det3"/></m></li>
</ol>
</answer>
</exercise>
