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

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