Subspace
A subspace of $\mathbb{R}^n$ is a subset $W \in \mathbb{R}^n$. For a subset to be considered a subspace, it must conform to the following conditions:
- The zero vector must be in $W$
- If $v$ and $u$ is in $W$, $u + v$ must also be in $W$, as well as the Vector Span of those two vectors