
<ol>
<li>The change-of-basis matrix is a matrix representation of which linear transformation?
</li>
<li>Find the change-of-basis matrix, $\cbm{B}{C}$, for the two bases of $\complex{2}$
\begin{align*}
B&amp;=\set{\colvector{2\\3},\,\colvector{-1\\2}}&amp;
C&amp;=\set{\colvector{1\\0},\,\colvector{1\\1}}
\end{align*}

</li>
<li>What is the third “surprise,” and why is it surprising?
</li>
</ol>