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

  • Thread starter andreitta
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  • #1
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Main Question or Discussion Point

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! :)
 

Answers and Replies

  • #2
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Have a look at this thread, which discusses the case where q = 2 and generalizes easily.
 
  • #3
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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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