
<ol>
<li>The vector space of $3\times 5$ matrices, $M_{35}$ is isomorphic to what fundamental vector space?
</li>
<li>A basis for $\complex{3}$ is
\begin{equation*}
B=\set{
\colvector{1\\2\\-1},\,
\colvector{3\\-1\\2},\,
\colvector{1\\1\\1}
}
\end{equation*}
Compute $\vectrep{B}{\colvector{5\\8\\-1}}$.
</li>
<li>What is the first “surprise,” and why is it surprising?
</li>
</ol>