Partial Order set!!!! PARTIAL ORDER SETConsider the following set in a divisibility problem.1. A = {3, 4, 12, 24, 48, 72}a) R = {(a, b) | a divides b}b) Draw its digraph.c)Identify the ordered pairs of R = {(a, a) for all a & A.d) Identify the ordered pairs of R = {(a, b) & R and (b, a) & R; a = b.e) Identify the ordered pairs of R = {(a, b) & R and (b, c) & R then (a, c) & Rf) Conclusion

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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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Consider the following set in a divisibility problem. 1. A {3, 4, 12, 24, 48, 72} a) R = {(a, b) | a divides b} b) Draw its digraph. c) Identify the ordered pairs of R = {(a, a) for all a & A.