Let T = (0, 1, 2, 3, 4} and the relation R is defined on T as follows: R = ((0, 1), (1, 2). (2, 3))-The symmetric closure of R is:Seç.Seç.{(0, 1), (0, 2), (0, 3), (1, 2), (1, 3), (2, 3)}.{(0, 1), (1, 0), (1, 1), (1, 2), (2, 1), (2, 2), (2, 3), (3, 2), (3, 3).{(0, 1), (1, 0), (1, 2), (2, 1), (2, 3), (3, 2)}.{(0, 0),(1, 1), (2, 2),(3, 3)}.{(0, 0), (0, 1), (1, 1), (1, 2), (2, 2). (2, 3), (3, 3), (4, 4)).{(0, 0), (0, 1), (1, 1), (1, 2), (2, 2), (2, 3), (3, 3)}{(0, 0),(1, 1), (2, 2),(3, 3), (4, 4)}{(0, 1), (0, 2), (О, 3), (1. 2), (1, 3), (2, 3), (3,1), (3, 2)).The reflexive closure of R is:The transitive closure of R is:

Answered: Image /qna-images/answer/fd9d8706-fca3-458b-bc0e-4aa43156a805.jpg

The symmetric closure of R is: Seç. Seç. {(0, 1), (0, 2), (0, 3), (1, 2), (1, 3), (2, 3). {(0, 1), (1, 0), (1, 1), (1, 2), (2, 1), (2, 2), (2, 3), (В, 2), (3. 3). {(0, 1), (1, 0), (1, 2), (2, 1), (2, 3), (3, 2)}. {(0, 0),(1, 1), (2, 2),(3, 3)}. {(0, 0), (0, 1), (1, 1), (1, 2), (2, 2), (2, 3), (3, 3), (4, 4)). {(0, 0), (0, 1), (1, 1), (1, 2), (2, 2), (2, 3), (3, 3)} {(0, 0),(1, 1), (2, 2),(3, 3), (4, 4)) {(О, 1), (0, 2), (о, 3), (1, 2), (1, 3), (2, 3), (3,1), (3, 2)). The reflexive closure of R is: The transitive closure of R is:

The symmetric closure of R is: Seç. Seç. {(0, 1), (0, 2), (0, 3), (1, 2), (1, 3), (2, 3). {(0, 1), (1, 0), (1, 1), (1, 2), (2, 1), (2, 2), (2, 3), (В, 2), (3. 3). {(0, 1), (1, 0), (1, 2), (2, 1), (2, 3), (3, 2)}. {(0, 0),(1, 1), (2, 2),(3, 3)}. {(0, 0), (0, 1), (1, 1), (1, 2), (2, 2), (2, 3), (3, 3), (4, 4)). {(0, 0), (0, 1), (1, 1), (1, 2), (2, 2), (2, 3), (3, 3)} {(0, 0),(1, 1), (2, 2),(3, 3), (4, 4)) {(О, 1), (0, 2), (о, 3), (1, 2), (1, 3), (2, 3), (3,1), (3, 2)). The reflexive closure of R is: The transitive closure of R is:

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 T = (0, 1, 2, 3, 4} and the relation R is defined on T as follows: R = ((0, 1), (1, 2). (2, 3))-
The symmetric closure of R is:
Seç.
Seç.
{(0, 1), (0, 2), (0, 3), (1, 2), (1, 3), (2, 3)}.
{(0, 1), (1, 0), (1, 1), (1, 2), (2, 1), (2, 2), (2, 3), (3, 2), (3, 3).
{(0, 1), (1, 0), (1, 2), (2, 1), (2, 3), (3, 2)}.
{(0, 0),(1, 1), (2, 2),(3, 3)}.
{(0, 0), (0, 1), (1, 1), (1, 2), (2, 2). (2, 3), (3, 3), (4, 4)).
{(0, 0), (0, 1), (1, 1), (1, 2), (2, 2), (2, 3), (3, 3)}
{(0, 0),(1, 1), (2, 2),(3, 3), (4, 4)}
{(0, 1), (0, 2), (О, 3), (1. 2), (1, 3), (2, 3), (3,1), (3, 2)).
The reflexive closure of R is:
The transitive closure of R is:

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