Question: We define the following operations on relations: Composition: For: T: A B S: B C We define the composition as: T S = { (

We define the following operations on relations: Composition: For:
T: AB
S: BC
We define the composition as:
T S ={(a, c)|(b in B)(aT b bSc)}
Transposed Relation: R^T If R: AB,R^T: BA and R^T={(b,a)|(a,b) in R}
Prove or disprove the following statement:
If R is total and surjective, then R R^T is reflexive.

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