(b) Observe that all the relations in (a) are equivalence relations. Prove that this is true in general, that is, prove that if A is a nonempty set, and P is a partition of A, then the relation R corresponding to P defined in (*) must be an equivalence relation.
(b) Observe that all the relations in (a) are equivalence relations. Prove that this is true in general, that is, prove that if A is a nonempty set, and P is a partition of A, then the relation R corresponding to P defined in (*) must be an equivalence relation.
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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