Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
Let A = {1, 2, 3, 4}. Give an example of a relation on A that is (R = Reflexive, S =
Symmetric, T = Transitive)
(a) R and S but not T. (b) R and T but not S.
(c) S and T but not R. (d) R but neither S not T.
(e) S but neither R not T. (f) T but neither R not S.
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- R= {(1,2), (1,3), (1,4), (2,3), (2,4), (3,4)} is a relation on the set A = {1, 2, 3, 4}. 3.a. Show the digraph of R. 3 b. Show the matrx of R. 3.c. Determine whether R is reflexive, symmetric or transitive. You must give reasons for these answers. 100%arrow_forwardDefine a relation on Z x Z, xRy, |x - y| < 1. Is R reflexive, symmetric, and/or transitive? Explain why or why not for each property.arrow_forwardLet S = {a, b, c}. Then R = {(a, b)} is a relation on S. Which of the properties reflexive, symmetric andtransitive does the relation R possess? I know that its not reflexive or symmetric but its vacuously transitive, but I dont get why, so please explain step by steparrow_forward
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