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-   -   Number of invertible/non-singular matrices over a finite field (http://www.physicsforums.com/showthread.php?t=276040)

andreitta Nov30-08 05:13 PM

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

adriank Nov30-08 05:24 PM

Re: Number of invertible/non-singular matrices over a finite field
 
Have a look at this thread, which discusses the case where q = 2 and generalizes easily.

andreitta Nov30-08 05:31 PM

Re: Number of invertible/non-singular 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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