Find the null space for $A = \left[\begin{matrix} 1 & 2 \cr 4 & 8 \cr 7 & 14\cr \end{matrix}\right].$

What is null$(A)$?

A. span$\left\{\left[\begin{matrix} 1 \cr 4 \cr 7 \cr \end{matrix}\right]\right\}$
B. span$\left\{\left[\begin{matrix} -2 \cr 1 \cr \end{matrix}\right]\right\}$
C. ${\mathbb R}^2$
D. ${\mathbb R}^3$
E. span$\left\{\left[\begin{matrix} 0 \cr 0 \cr 0 \cr \end{matrix}\right]\right\}$
F. span$\left\{\left[\begin{matrix} 14 \cr 7 \cr \end{matrix}\right]\right\}$
G. span$\left\{\left[\begin{matrix} 0 \cr 0 \cr \end{matrix}\right]\right\}$
H. none of the above
.