<?xml version='1.0' encoding='UTF-8'?>
<exercise xmlns="https://spatext.clontz.org" version="0.0">
<statement>
<p>Explain how to find a basis for the eigenspace associated to the eigenvalue <m>{{eigenvalue}}</m> in the matrix <me>{{matrix}}</me></p>
</statement>
<answer>
<p><me>\operatorname{RREF}{{matrix_minus_lambda}}={{rref}}</me></p>
<p>A basis of the eigenspace is <m>{{basis}}</m>.</p>
</answer>
</exercise>