Latest Lists

A: R = {(a,a),(a,b)} and Q = {(b,a),(a,a)}. using the definition of composition list the elements of R o Q.?

Public Comments

1. We have Q:{a,b}->{a} and R:{a}->{a,b}. The definition should indicate that R o Q:{a,b}->{a,b} is the following set of ordered pairs: {(x,y) in {a,b} X {a,b} | there exists z in {a} such that (x,z) is in Q and (z,y) is in R}. Of course, the z referred to in the foregoing can only be a. All of the ordered pairs in {a,b} X {a,b} -- namely (a,a), (a,b), (b,a), and (b,b) -- satisfy this definition.