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Hi, can someone please help me with this 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!!