See attachment. I am able to show that it is an equivlance relation, and so I don't need help with that part. I am having trouble, though, showing that the equivalence classes are the fibers of f, and vice versa. 7*. Let f A -> B be asurjective map of sets. Prove that the relationa bif and only if f(a) = f(b)equivalence relation whose equivalence classes are the fibers of fis an

Answered: 7*. Let f A -> B be a surjective map of…

7*. Let f A -> B be a surjective map of sets. Prove that the relation a bif and only if f(a) = f(b) equivalence relation whose equivalence classes are the fibers of f is an

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

See attachment. I am able to show that it is an equivlance relation, and so I don't need help with that part. I am having trouble, though, showing that the equivalence classes are the fibers of f, and vice versa.

7*. Let f A -> B be a
surjective map of sets. Prove that the relation
a bif and only if f(a) = f(b)
equivalence relation whose equivalence classes are the fibers of f
is an

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I have the following question and I dont know how to approach it, so if able show step by step how to solve this: "Let A be a nonempty set. If R is a relation from A to A that is both an equivalence relation and a function,then what familiar function is R? Justify your answer"
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NEED FULLY CORRECT SOLUTION FOR THIS.... ASAP!!!! I'LL RATE POSITIVE.THANK YOU.
I know that in order to show an equivalence relation I need to check for (1) reflexivity, (2) Symmetry, and (3) transitivity. I just cant figure out how to prove those things for this problem. (Problem attached.)
I am having trouble working thru this problem, any help would be appreciated.
please answer me asap with answer