Let ${\bf u}_1 = \left[{\begin{matrix}2 \cr 5 \cr \end{matrix}}\right]$, and ${\bf u}_2 = \left[{\begin{matrix}4 \cr 12 \cr \end{matrix}}\right]$.

Select all of the vectors that are in the span of $\lbrace {\bf u}_1, {\bf u}_2 \rbrace$. (Check every statement that is correct.)

A. The vector $4 \left[{\begin{matrix}4 \cr 12 \cr \end{matrix}}\right]+ 5 \left[{\begin{matrix}2 \cr 5 \cr \end{matrix}}\right]\ $ is in the span.
B. The vector $5\left[{\begin{matrix}2 \cr 5 \cr \end{matrix}}\right]$ is in the span.
C. All vectors in ${\mathbb R}^2$ are in the span.
D. The vector $\left[{\begin{matrix}4 \cr 12 \cr \end{matrix}}\right]$ is in the span.
E. The vector $\left[{\begin{matrix}2 \cr 5 \cr \end{matrix}}\right]$ is in the span.
F. The vector $\left[{\begin{matrix}0 \cr 0 \cr \end{matrix}}\right]$ is in the span.
G. We cannot tell which vectors are in the span.