17. Equivalence relations 1. Let X = {a, b, c, d, e, f} and R be the relation on X defined by R = {(a, a), (a,b), (a, e), (b, a), (b, b), (b, e), (c, c), (c, f), (d, d), (e, a), (e, b), (e, e), (f,c), (f, f)}. Is R an %3D equivalence relation? If so, draw a digraph and give the equivalence classes. If not, give an example showing why.
17. Equivalence relations 1. Let X = {a, b, c, d, e, f} and R be the relation on X defined by R = {(a, a), (a,b), (a, e), (b, a), (b, b), (b, e), (c, c), (c, f), (d, d), (e, a), (e, b), (e, e), (f,c), (f, f)}. Is R an %3D equivalence relation? If so, draw a digraph and give the equivalence classes. If not, give an example showing why.
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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I need help EQUIVALENT RELATIONS!!!
![## 17. Equivalence Relations
1. **Let \( X = \{a, b, c, d, e, f\} \) and \( R \) be the relation on \( X \) defined by:**
\[
R = \{(a, a), (a, b), (a, e), (b, a), (b, b), (b, e), (c, c), (c, f), (d, d), (e, a), (e, b), (e, e), (f, c), (f, f)\}
\]
Is \( R \) an equivalence relation? If so, draw a digraph and give the equivalence classes. If not, give an example showing why.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F71b4fcba-08e1-4941-b15c-eaa6a4e7d487%2F593ee1f8-8eb6-42a1-a269-80117186840d%2Fxd5fzvp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:## 17. Equivalence Relations
1. **Let \( X = \{a, b, c, d, e, f\} \) and \( R \) be the relation on \( X \) defined by:**
\[
R = \{(a, a), (a, b), (a, e), (b, a), (b, b), (b, e), (c, c), (c, f), (d, d), (e, a), (e, b), (e, e), (f, c), (f, f)\}
\]
Is \( R \) an equivalence relation? If so, draw a digraph and give the equivalence classes. If not, give an example showing why.
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