a) Let R be the relation on the set A = {1, 2, 3, 4} defined...

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a) Let R be the relation on the set A = {1, 2, 3, 4} defined by R = {(x, y)/x + 3y 12}. Find the matrix representing R R. b) Suppose that the relation R is defined on the set Z where aRb means: ba", for some positive integer. Show that R is a partial ordering relation. a) Let R be the relation on the set A = {1, 2, 3, 4} defined by R = {(x, y)/x + 3y 12}. Find the matrix representing R R. b) Suppose that the relation R is defined on the set Z where aRb means: ba", for some positive integer. Show that R is a partial ordering relation.