Number of invertible/nonsingular matrices over a finite field
I'm trying to find the number of different nonsingular matrices (nxn) over a finite field (order q). Any help would be greatly appreciated.
Thanks in advance! :) 
Re: Number of invertible/nonsingular matrices over a finite field
Have a look at this thread, which discusses the case where q = 2 and generalizes easily.

Re: Number of invertible/nonsingular matrices over a finite field
Thanks a lot for the quick reply! I solved it already :) Hadn't thought about the cardinal of
[tex] GL_n(\mathbb{F}_q) [/tex] Thanks! 
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