12. Suppose that B is a nonempty set, and let A denote the set of all functions from B to B. Let F denote the set of all bijective functions from B to B. Define a relation S on A as follows: S = {(f, 9) E A x A : 3h e F such that f = h o goh}. The rest of the questions is "Prove that S is an equivalence relation".

12. Suppose that B is a nonempty set, and let A denote the set of all functions from B to B. Let F denote the set of all bijective functions from B to B. Define a relation S on A as follows: S = {(f, 9) E A x A : 3h e F such that f = h o goh}. The rest of the questions is "Prove that S is an equivalence 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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