Find the null space for $A = \left[\begin{matrix} 1 & 0 & 2 \cr 0 & 1 & 3 \cr \end{matrix}\right].$

What is null$(A)$?

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