Possible Duplicate:
Groups/Linear maps
Given a natural number $n$, consider the set of all $n\times n$ matrices where each element is a member of $\mathbb Z_p$, where $p $ is a prime.
How many of these matrices are invertible modulo $p$?
Possible Duplicate:
Groups/Linear maps
Given a natural number $n$, consider the set of all $n\times n$ matrices where each element is a member of $\mathbb Z_p$, where $p $ is a prime.
How many of these matrices are invertible modulo $p$?