1. Summarize the three conditions that allow us to quickly test if a set is a subspace.
2. Consider the set of vectors \begin{align*} W&=\setparts{\colvector{a\\b\\c}}{3a-2b+c=5} \end{align*} Is the set $W$ a subspace of $\complex{3}$? Explain your answer.
3. Name five general constructions of sets of column vectors (subsets of $\complex{m}$) that we now know as subspaces.