If the Set W Is a Vector Space, Find a Set

Multiple Choice

If the set W is a vector space, find a set S of vectors that spans it. Otherwise, state that W is not a vector space.
- $W$ is the set of all vectors of the form $\left[ \begin{array} { c } a + 6 b \\ 3 b \\ 4 a - b \\ - a \end{array} \right]$ , where $a$ and $b$ are arbitrary real numbers.

A)
$\left[ \begin{array} { r } 1 \\ 3 \\ 4 \\ - 1 \end{array} \right] , \left[ \begin{array} { r } 6 \\ 0 \\ - 1 \\ 0 \end{array} \right]$
B)
$\left[ \begin{array} { r } 1 \\ 0 \\ 4 \\ - 1 \end{array} \right] , \left[ \begin{array} { r } 6 \\ 3 \\ - 1 \\ 0 \end{array} \right]$
C) Not a vector space
D)
$$\left[ \begin{array} { l } 1 \\0 \\4 \\0\end{array} \right] , \left[ \begin{array} { r } 6 \\0 \\- 1 \\0\end{array} \right] , \left[ \begin{array} { r } 0 \\3 \\0 \\- 1\end{array} \right]$$