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Consider the relation T on the set of all undergraduate TAs (UTA) for the CSE department...

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Advance Math

Consider the relation T on the set of all undergraduate TAs(UTA) for the CSE department where s1 T s2 ifand only if s1 and s2 are UTAs for the samecourse.

(a) Assuming that no one is a UTA for multiple courses, provethat T is an equivalence relation.

(b) Assuming that no one is a UTA for multiple courses, what dothe equivalence classes for T represent?

(c) Explain why the assumption that no one is a UTA for multiplecourses is necessary for T to be an equivalence relation.

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