Q-4: a) Let R and S be relations on the set A = {1,2,3} represented by the matrices [1 0 11 MR 1 i. List the elements of the set that represents the relation Rᵒ S. ii. Show that S is not transitive and find its transitive closure. [1 0 0 1 and Ms = 0 Lo 1 ol 1 01 0 0 0 1. b) Find the equivalence relation R on A with partitions {1,3,4}, {2}, {5}, and sketch its diagraph.
Q-4: a) Let R and S be relations on the set A = {1,2,3} represented by the matrices [1 0 11 MR 1 i. List the elements of the set that represents the relation Rᵒ S. ii. Show that S is not transitive and find its transitive closure. [1 0 0 1 and Ms = 0 Lo 1 ol 1 01 0 0 0 1. b) Find the equivalence relation R on A with partitions {1,3,4}, {2}, {5}, and sketch its diagraph.
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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![Q-4:
a) Let R and S be relations on the set A = {1,2,3} represented by the matrices
[1 1 01
MR
0
1
1 0 ol
i. List the elements of the set that represents the relation Rᵒ S.
ii. Show that S is not transitive and find its transitive closure.
[101]
0
lo 1 ol
0 1 and Ms = 0
b) Find the equivalence relation R on A with partitions {1,3,4}, {2}, {5}, and
sketch its diagraph.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F449845ea-abfb-45b8-a28f-4152554c0cec%2Fad01c126-ce90-418e-b234-bd00e6649da5%2F6fddci_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q-4:
a) Let R and S be relations on the set A = {1,2,3} represented by the matrices
[1 1 01
MR
0
1
1 0 ol
i. List the elements of the set that represents the relation Rᵒ S.
ii. Show that S is not transitive and find its transitive closure.
[101]
0
lo 1 ol
0 1 and Ms = 0
b) Find the equivalence relation R on A with partitions {1,3,4}, {2}, {5}, and
sketch its diagraph.
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