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.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.4: Relationships: Perpendicular Lines
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Please provide me complete solution of all parts and mention part D,e,f on page Thanks42
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.
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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