Relations and Functions: Equivalence Classes (Example 1) - Part 1
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Relations and Functions: Equivalence Classes (Example 1) - Part 1
In this video, we provide a definition of an equivalence class associated with an equivalence relation. In particular, we provide an example of an equivalence relation and that the collection of equivalence classes forms a partition of the set the relation was constructed from.
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Let A = {1, 2, 3,......, 9} and R be the relation in A × A defined by (a, b) R (c, d) if a d = b c for (a, b), (c, d) in A × A. Prove that R is an equivalence relation. Also, obtain the equivalence class [(2, 5)]. - Mathematics | Shaalaa.com
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