7. Decide for each of the following relations whether or not it is an equivalence relation. Give full reasons. If it is an equivalence relation, give the equivalence classes. (a) Let a, b € Z. Define aRb if and only if - € z (b) Let a and b be integers. Define aRb if and only if 3|(a – b) (In other words R is the congruence modulo 3 relation

7. Decide for each of the following relations whether or not it is an equivalence relation. Give full reasons. If it is an equivalence relation, give the equivalence classes. (a) Let a, b € Z. Define aRb if and only if - € z (b) Let a and b be integers. Define aRb if and only if 3|(a – b) (In other words R is the congruence modulo 3 relation

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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