et A = {1,2,3,4}, B = { a, b, c }
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Let A = {1,2,3,4}, B = { a, b, c } and C = {x, y, z }. Consider the relations of R of A into B and S from B into C as follows: R = {(1, b), (3, a), (3, b), (4, c)} and S = {(a, y), (c, x) , (a, z)}
(a) Sketch the R and S diagrams.
(b) Find the matrices of each relation R, S and R ∙ S (composition).
(c) Write R−1 and the composition R ∙ S as sets of ordered pairs.
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