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

Thread starter andreitta
Start date Nov 30, 2008
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Field Finite Matrices

Nov 30, 2008

andreitta

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.

Thanks in advance! :)

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Nov 30, 2008

adriank

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

Nov 30, 2008

andreitta

Thanks a lot for the quick reply! I solved it already :) Hadn't thought about the cardinal of
GL_n(\mathbb{F}_q)

Thanks!

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