a) For the relation R on the set {1, 2, 3, 4}, decide whether it is reflexive, whether it is an equivalence relation. R = {(1,3), (1,4), (2,3), (2,4), (3,1), (3,4)} b) Detemine whether the relation represented by the zero-one matrix is a poset (partial order set): [1 1 1] LO 1.

a) For the relation R on the set {1, 2, 3, 4}, decide whether it is reflexive, whether it is an equivalence relation. R = {(1,3), (1,4), (2,3), (2,4), (3,1), (3,4)} b) Detemine whether the relation represented by the zero-one matrix is a poset (partial order set): [1 1 1] LO 1.

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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Here is a question from my assignment
Let A = {0,1,2,3} and R a relation over A: R = {(0,0),(0,1),(0,3),(1,1),(1,0),(2,3),(3,3)} Check whether R is an equivalence relation or a partial order. Give a counterexample in each case in which the relation does not satisfy one of the properties of being an equivalence relation or a partial order.
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