<?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.</p>
<ol>
<li>Give a <m>4 \times 4</m> matrix <m>{{name1}}</m> that may be used to perform the row operation <m>{{row_op1}}</m>.</li>
<li>Give a <m>4 \times 4</m> matrix <m>{{name2}}</m> that may be used to perform the row operation <m>{{row_op2}}</m>.</li>
<li>Use matrix multiplication to describe the matrix obtained by applying
{{#swapped}}
<m>{{row_op2}}</m> and then <m>{{row_op1}}</m>
{{/swapped}}
{{^swapped}}
<m>{{row_op1}}</m> and then <m>{{row_op2}}</m>
{{/swapped}}
to <m>A</m> (note the order).
</li>
</ol>
</statement>
<answer>
<ol>
<li><m>{{name1}}={{mat1}}</m></li>
<li><m>{{name2}}={{mat2}}</m></li>
<li>
{{#swapped}}
<m>{{name1}}{{name2}}A</m>
{{/swapped}}
{{^swapped}}
<m>{{name2}}{{name1}}A</m>
{{/swapped}}
</li>
</ol>
</answer>
</exercise>
