In: Advanced Math
Let S = {1,2,3,4} and let A = SxS
Define a relation R on A by (a,b)R(c,d) iff ad = bc
Write out each equivalence class (by "write out" I mean tell me explicitly which elements of A are in each equivalence class)
Hint: |A| = 16 and there are 11 equivalence classes, so there are several equivalence classes that consist of a single element of A.