# Number of invertible/non-singular matrices over a finite field

1. ### andreitta

7
I'm trying to find the number of different non-singular matrices (nxn) over a finite field (order q). Any help would be greatly appreciated.

534
Have a look at this thread, which discusses the case where q = 2 and generalizes easily.

3. ### andreitta

7
$$GL_n(\mathbb{F}_q)$$