Find a Basis for the Null Space of the Matrix $$A = \left[ \begin{array} { r r r r } 1 & 0 & - 7 & - 4 \\0 & 1 & 5 & - 2 \\0 & 0 & 0 & 0\end{array} \right]$$

Multiple Choice

Find a basis for the null space of the matrix.
- $$A = \left[ \begin{array} { r r r r } 1 & 0 & - 7 & - 4 \\0 & 1 & 5 & - 2 \\0 & 0 & 0 & 0\end{array} \right]$$

A) $$\left\{ \left[ \begin{array} { l } 1 \\0 \\0\end{array} \right] , \left[ \begin{array} { l } 0 \\1 \\0\end{array} \right] \right\}$$
B)

$$\left\{ \left[ \begin{array} { r } - 7 \\5 \\1 \\0\end{array} \right] , \left[ \begin{array} { r } - 4 \\- 2 \\0 \\1\end{array} \right] \right\}$$
C)
$\left\{\left[\begin{array}{r}7 \\-5 \\1 \\0\end{array}\right],\left[\begin{array}{l}4 \\2 \\0 \\1\end{array}\right]\right\}$


D)

$\left\{\left[\begin{array}{r}1 \\0 \\-7 \\-4\end{array}\right],\left[\begin{array}{r}0 \\1 \\5 \\-2\end{array}\right]\right\}$