elations R = {(1,2), (2, 3), (3, 1)} and S = {(2, 1), (3, 2), (1,3)} on the set A = {1, 2, 3}. d) Find MRO Ms. e) The matrix MR O Ms represents a new relation So R called the composition of R and S. Write the relation SoR as a subset of A x A. f) Is SoR is an equivalence relation on A? State either yes or no.
elations R = {(1,2), (2, 3), (3, 1)} and S = {(2, 1), (3, 2), (1,3)} on the set A = {1, 2, 3}. d) Find MRO Ms. e) The matrix MR O Ms represents a new relation So R called the composition of R and S. Write the relation SoR as a subset of A x A. f) Is SoR is an equivalence relation on A? State either yes or no.
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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Please provide me complete solution of all parts and mention part D,e,f on page Thanks42
Transcribed Image Text:4.
Consider the relations
R = {(1,2), (2, 3), (3, 1)} and S= {(2,1), (3, 2), (1,3)}
on the set A = {1, 2, 3}.
d) Find MR O Ms.
e) The matrix MR O Ms represents a new relation So R called the composition of R
and S. Write the relation So R as a subset of A x A.
f) Is SoR is an equivalence relation on A? State either yes or no.
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