Solution
= Solution
The analogous <null space> statement is
$$
\boxed{Ax=0\iff x=Ry\text{ for some }y\in\mathbb R^m.}
$$
Here the <rank-nullity theorem> and (a) ensure that $\ker A$ also has <dimension> $m$.
= Solution
The analogous <null space> statement is
$$
\boxed{Ax=0\iff x=Ry\text{ for some }y\in\mathbb R^m.}
$$
Here the <rank-nullity theorem> and (a) ensure that $\ker A$ also has <dimension> $m$.