Q:

Set of m-vectors

In my book (matrix computations by Gill) there's a term used quite a lot which I don't understand/find what is its meaning. 

The set of all $m$-vectors that are linear combinations s of the columns of the $m \times n$  matrix $A$ is called range space, column space or simply the range of $A$.

Does "m-vectors" refer to vectors of dimension $m$?

A:

It will be elements of $\mathbb{R}^m$, i.e. vectors of dimension $m$. 
See for example the definition on page 41 of Elementary Linear Algebra By Stewart Venit, Wayne Bishop, Jason Brown

