Equivalence Relation in Discrete Mathematics

In this video, we delve into the fascinating concept of equivalence relations and explore their properties, applications, and examples.
Formally, a relation R on a set A is said to be an equivalence relation if it satisfies three key properties:
Reflexivity: For every element a in set A, (a, a) belongs to relation R. This property ensures that every element is related to itself.
Symmetry: If (a, b) belongs to relation R, then (b, a) also belongs to relation R. In other words, if two elements are related, their relationship is bidirectional or symmetric.
Transitivity: If (a, b) and (b, c) belong to relation R, then (a, c) also belongs to relation R. This property ensures that if two elements have a relationship, and a third element is related to the second element, then the first element is also related to the third element.

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