Spanning Sets ($\text{Span }A$)

Let $B=\{{\vec{v}}_1,\dots ,{\vec{v}}_k\}$ be a set of vectors in ${\mathbb{R}}^n$. The span of $B$ is $\text{Span }B=\{c_1{\vec{v}}_1+\cdots +c_k{\vec{v}}_k\mid c_1,\dots ,c_k\in \mathbb{R}\}$

We say that the set Span B is spanned by B and that B is a spanning set for Span B.