Answer
True
Work Step by Step
The statement is the same with part b of Corollary 6.5.10:
Let $T : V → W$ be a linear transformation, and let $B$ and $C$ be ordered bases for $V$ and $W$, respectively. Then $T$ is onto if and only if colspace$([T ]^C_B) = Rn$, where $n = dim[W]$
