Hi

I need help understanding this question.

Suppose there is a set of growers G = {a, b, c, d}, a set of retailers R = {e, f, g} and a set of customers C = {m, n, p, q, r}. There are two relations A and B on G x R and R xC, respectively, defined by: aAe, bAg, cAf, dAe, dAg, and eBn, eBr, fBm, fBq, gBp xAy means "grower x sold goods to retailer y", and yA1x means "retailer y bought goods from grower x" xBy means "retailer x sold goods to customer y", and yB1x means "customer y bought goods from retailer x" (i) Find the matrices M(A) and M(B) that represent the relations A and B. (ii) Find the matrices M(A)T and M(B)T that represent the relations A1 and B1 (iii) Consider the query: Which customers have received goods that came from the same grower(s) as those goods received by customer p? Find the logical matrix products M(A) M(B) and then M(B)T M(A)T, and finally M(B)T M(A)T M(A) M(B), and hence answer the query.

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