7. Let R be the following equivalence relation on the set A = {1,2,3,4,5,6};: R = {(1,1),(1,5), (2,2), (2,3), (2,6), (3,2), (3,3), (3,6),(4,4), (5,1), (5,5), (6,2), (6,3), (6,6)} Find the equivalence classes of R, S/R, and the system of representatives of the equivalence classes.

7. Let R be the following equivalence relation on the set A = {1,2,3,4,5,6};: R = {(1,1),(1,5), (2,2), (2,3), (2,6), (3,2), (3,3), (3,6),(4,4), (5,1), (5,5), (6,2), (6,3), (6,6)} Find the equivalence classes of R, S/R, and the system of representatives of the equivalence classes.

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

7. Let R be the following equivalence relation on the set A = {1,2,3,4,5,6};
R = {(1,1),(1,5), (2,2), (2,3), (2,6), (3,2), (3,3), (3,6), (4,4), (5,1), (5,5), (6,2), (6,3), (6,6)}
Find the equivalence classes of R, S/R, and the system of representatives of the equivalence classes.

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