Let S = {1,2,3,4} and let A = SxS Define a relation R on A by...

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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 meexplicitly which elements of A are in each equivalence class)

Hint: |A| = 16 and there are 11 equivalence classes, so thereare several equivalence classes that consist of a single element ofA.

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