(a, b, c, d) and define a relation R on A as follows: R = ((a, a), (b, b), (a, b), (c, c), (b, a), (d, d)). It is a fact that R is an equivalence relation on A. How many distinct equivalence classes does R have? Use set - roster notation to write the equivalence classes of R.

(a, b, c, d) and define a relation R on A as follows: R = ((a, a), (b, b), (a, b), (c, c), (b, a), (d, d)). It is a fact that R is an equivalence relation on A. How many distinct equivalence classes does R have? Use set - roster notation to write the equivalence classes of R.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Let A = (a, b, c, d) and define a relation R on A as follows:
R = ((a, a), (b, b), (a, b), (c, c), (b, a), (d, d)).
It is a fact that R is an equivalence relation on A.
How many distinct equivalence classes does R have?
Use set - roster notation to write the equivalence classes of R.

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