Let ${\bf u}_1 = \left[{\begin{matrix}2 \cr 3 \cr 4 \cr \end{matrix}}\right]$, and ${\bf u}_2 = \left[{\begin{matrix}4 \cr 9 \cr 10 \cr \end{matrix}}\right]$.

Select all of the vectors that are not in the span of $\lbrace {\bf u}_1, {\bf u}_2 \rbrace$.

A. The vector $\left[{\begin{matrix}0 \cr 1 \cr 0 \cr \end{matrix}}\right]$ is not in the span.
B. The vector $\left[{\begin{matrix}8 *4 \cr 8 *9 \cr 8 *10+1 \cr \end{matrix}}\right] - 8 \left[{\begin{matrix}2 \cr 3 \cr 4 \cr \end{matrix}}\right]\ $ is not in the span.
C. The vector $\left[{\begin{matrix}1 \cr 0 \cr 0 \cr \end{matrix}}\right]$ is not in the span.
D. The vector $8 \left[{\begin{matrix}4 \cr 9 \cr 10 \cr \end{matrix}}\right] - 8 \left[{\begin{matrix}2 \cr 3 \cr 4 \cr \end{matrix}}\right]\ $ is not in the span.
E. The vector $-8\left[{\begin{matrix}4 \cr 9 \cr 10 \cr \end{matrix}}\right]$ is not in the span.
F. The vector $\left[{\begin{matrix}2 \cr 3 \cr 4 \cr \end{matrix}}\right]$ is not in the span.
G. The vector $\left[{\begin{matrix}0 \cr 0 \cr 0 \cr \end{matrix}}\right]$ is not in the span.
H. The vector $\left[{\begin{matrix}4 \cr 9 \cr 10 \cr \end{matrix}}\right]$ is not in the span.
I. The vector $\left[{\begin{matrix}7*2+4 \cr 7*3 \cr 7*4 \cr \end{matrix}}\right]$ is not in the span.
J. All vectors in ${\mathbb R}^3$ are in the span.
K. We cannot tell which vectors are in the span.