1. Let & be the relation of (a,b) la #b] on the set of integers. What is the reflexive closure of R?
1. Let & be the relation of (a,b) la #b] on the set of integers. What is the reflexive closure 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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![W14 Exercise
1. Let & be the relation of (a,b) la #b] on the set of integers.
What is the reflexive closure of R?
2. Let R be the relation of (a,b) la divides b3 on the set of
integers. What is the symmetric closure of R.
3. Find the smallest relation containing the relation of (1,2), (1,4), (3, 3), (4,1)3
defined on
a set A= 1, 2, 3, 43 that reflexive and transitive.
4. Find the smallest setation containing the relation (1,2), (1,4), (3, 3), (4, 17
4. Find the transitive closure of relation R = C (a,c), (b, c), (c, a),(d;b), (e,d)}
on set A: & a, b, c, d, e 3. let say a = 1, b = ²₁ c = 3₁ d = 4₁ e ²5.
2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F115d1688-566f-4444-85f9-41e92fc82116%2F5d76e70a-6ffa-4ecf-b056-6182cf032c29%2Fcgnc4bu_processed.png&w=3840&q=75)
Transcribed Image Text:W14 Exercise
1. Let & be the relation of (a,b) la #b] on the set of integers.
What is the reflexive closure of R?
2. Let R be the relation of (a,b) la divides b3 on the set of
integers. What is the symmetric closure of R.
3. Find the smallest relation containing the relation of (1,2), (1,4), (3, 3), (4,1)3
defined on
a set A= 1, 2, 3, 43 that reflexive and transitive.
4. Find the smallest setation containing the relation (1,2), (1,4), (3, 3), (4, 17
4. Find the transitive closure of relation R = C (a,c), (b, c), (c, a),(d;b), (e,d)}
on set A: & a, b, c, d, e 3. let say a = 1, b = ²₁ c = 3₁ d = 4₁ e ²5.
2
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