Solution
= Solution
{c}
\b[Yes.] A <surjective> $T_A$ has $\operatorname{im}T_A=\mathbb R^n$, so every $\mathbf b$ is attained. Its <rank of a linear map> is $n$, and the <rank-nullity theorem> gives
$$
\dim\ker T_A=m-n>0.
$$
The <solution set of a linear system> is therefore a translate of a nonzero <vector subspace>, containing infinitely many solutions as in <2/a/iii>.