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!!