<?xml version='1.0' encoding='UTF-8'?>
<exercise xmlns="https://spatext.clontz.org" version="0.0">
<statement>
<p>Let <m>A</m> be a <m>4 \times 4</m> matrix with determinant <m>{{determinant}}</m>.</p>
<ol>
<li>Let <m>{{name1}}</m> be the matrix obtained from <m>A</m> by applying the row operation <m>{{row_op1}}</m>.
What is <m>\operatorname{det}\ {{name1}}</m>?</li>
<li>Let <m>{{name2}}</m> be the matrix obtained from <m>A</m> by applying the row operation <m>{{row_op2}}</m>.
What is <m>\operatorname{det}\ {{name2}}</m>?</li>
<li>Let <m>{{name3}}</m> be the matrix obtained from <m>A</m> by applying the row operation <m>{{row_op3}}</m>.
What is <m>\operatorname{det}\ {{name3}}</m>?</li>
</ol>
</statement>
<answer>
<ol>
<li><m>\operatorname{det}\ {{name1}}={{det1}}</m></li>
<li><m>\operatorname{det}\ {{name2}}={{det2}}</m></li>
<li><m>\operatorname{det}\ {{name3}}={{det3}}</m></li>
</ol>
</answer>
</exercise>
