<?xml version='1.0' encoding='UTF-8'?>
<exercise xmlns="https://spatext.clontz.org" version="0.0">
<statement>
<ol>
<li>Find the standard matrix for the linear transformation
<m>S:\mathbb{R}^{{Scols}} \to \mathbb{R}^{{Srows}}</m> given by
<me>S\left( {{varvector}} \right) = {{varmap}}.</me>
</li>
<li>Let <m>T:\mathbb{R}^{{Tcols}} \to \mathbb{R}^{{Trows}}</m>
be the linear transformation given by the standard matrix
<me>{{Tstandardmatrix}}.</me>
Compute <m>T\left({{vector}}\right)</m>.
</li>
</ol>
</statement>
<answer>
<ol>
<li>
<me>{{Sstandardmatrix}}</me>
</li>
<li>
<me>T\left({{vector}}\right)={{Tvector}}</me>
</li>
</ol>
</answer>
</exercise>