For each of the relations on A = {0, 1, 2, 3} below R = {(0, 0),(0, 1),(0, 3),(1, 0),(1, 1),(2, 2),(3, 0),(3, 3)}, S = {(0, 0),(0, 2),(0, 3),(2, 3)}, T = {(0, 1),(2, 3)} determine whether they are reflexive, symmetric or transitive. List all that apply and justify your answers.

For each of the relations on A = {0, 1, 2, 3} below R = {(0, 0),(0, 1),(0, 3),(1, 0),(1, 1),(2, 2),(3, 0),(3, 3)}, S = {(0, 0),(0, 2),(0, 3),(2, 3)}, T = {(0, 1),(2, 3)} determine whether they are reflexive, symmetric or transitive. List all that apply and justify your answers.

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

For each of the relations on A = {0, 1, 2, 3} below
R = {(0, 0),(0, 1),(0, 3),(1, 0),(1, 1),(2, 2),(3, 0),(3, 3)},
S = {(0, 0),(0, 2),(0, 3),(2, 3)},
T = {(0, 1),(2, 3)}
determine whether they are reflexive, symmetric or transitive. List all that apply and
justify your answers.

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