Chapter 4 - Vector Spaces - 4.10 Invertible Matrix Theorem II - True-False Review - Page 332: b

False

Firstly, $m$ must be different to $n$. For $m \gt n$, if an $m × n$ matrix can have linearly independent rows and linearly dependent columns, then $rank(A)=m $. It is also imply that $m \leq n$ which is in contradiction to the fact $m\gt n$. Hence, the statement is false.