Q4-12 pоints Let C = {1, 2, 4}, A = C × C, аnd define а relаtiоn оn A by: (u, v) R (x, y) if and only if uy = xv. Prove that R is an equivalence relation on A. Remember that the elements of A are ordered pairs. Compute the partition A/R that corresponds to the equivalence relation. Hint: Keep in mind that you are partitioning the 9 elements of A into blocks.
Q4-12 pоints Let C = {2, 4, 8}, A = C × C, аnd define а relаtiоn оn A by: (u, v) R (x, y) if and only if uv = xy. Prove that R is an equivalence relation on A. Remember that the elements of A are ordered pairs. Compute the partition A/R that corresponds to the equivalence relation. Hint: Keep in mind that you are partitioning the 9 elements of A into blocks.