Let C = {1, 2, 4), A = Cx C, and define a relation on A by: (u, v) R (x, y) if and only if uy = xV. A. Show that R is an equivalence relation on A. Remember that the elements of A are ordered pairs. B. 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.

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Let C = {1, 2, 4), A = Cx C, and define a relation on A by:
(u, v) R (x, y) if and only if uy = XV.
A. Show that R is an equivalence relation on A. Remember that the elements of A are ordered pairs.
B. 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.
Transcribed Image Text:Let C = {1, 2, 4), A = Cx C, and define a relation on A by: (u, v) R (x, y) if and only if uy = XV. A. Show that R is an equivalence relation on A. Remember that the elements of A are ordered pairs. B. 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.
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