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In: Advanced Math

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

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

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

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

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

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