# Matrices Question

• March 2nd 2010, 02:09 PM
pseudonym
Matrices Question

Let K be the finite field with only the two elements 0 and 1, where 1+1=0
(i) How many 2x2 matrices with entries in K are there?
(ii) How many of these are non singular?

I understand that the question is refering to the field Z(integers) mod 2, but I'm not sure how that relates the matrices in question

Thank you!!
• March 2nd 2010, 11:56 PM
aliceinwonderland
Quote:

Originally Posted by pseudonym
1. $2^4$.
2. $(2^2 - 1)(2^2 - 2) = 6$. See here.