Thread: Matrices Question

Originally Posted by pseudonym

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!!

1. .
2. . See here.