Solve the Problem $W$ Is the Set of All Vectors of the Form

Multiple Choice

Solve the problem.
- $W$ is the set of all vectors of the form $\left[ \begin{array} { c } a - 4 b \\ 5 \\ 4 a + b \\ - a - b \end{array} \right]$ , where $a$ and $b$ are arbitrary real numbers.

A)
$\left[ \begin{array} { r } 1 \\ 0 \\ 4 \\ - 1 \end{array} \right] , \left[ \begin{array} { r } - 4 \\ 5 \\ 1 \\ - 1 \end{array} \right]$
B) Not a vector space
C)
$$\left[ \begin{array} { r } 1 \\0 \\4 \\- 1\end{array} \right] , \left[ \begin{array} { r } - 4 \\0 \\1 \\- 1\end{array} \right] , \left[ \begin{array} { l } 0 \\5 \\0 \\0\end{array} \right]$$
D)
$$\left[ \begin{array} { r } 1 \\5 \\4 \\- 1\end{array} \right] , \left[ \begin{array} { r } - 4 \\0 \\1 \\- 1\end{array} \right]$$