Abstract Algebra Problem (should be easy)?

[DEMJ]

Homework Statement

List all the elements of $$GL_N(\mathbb{Z}/2\mathbb{Z})$$. Find the order of each element, and show it is not abelian.

The Attempt at a Solution

I am confused right from the get go about $$GL_n(\mathbb{Z}/2\mathbb{Z})$$.

I think the $$L_n(\mathbb{Z}/2\mathbb{Z})$$ part means there are a n x n matrices whose elements are $$\mathbb{Z}/2\mathbb{Z}$$. Is that correct to say? Also what does the group $$G$$ have to do in the problem? Any help is appreciated because I am struggling atm to even get started on this problem.

 

[aPhilosopher]

I don't know much about finite fields but GL_n(F) is the "General Linear" Group and is the set of invertible (i.e. non-singular) matrices with components in F.