Let B = {1, 2, 3, 4, 5, 6) and let R be the relation on B that has the following digraph: a. b. C. d. c. 5 List the elements of R. Construct the relation matrix M. Determine the in-degree and out-degree of each of the vertex. Determine whether R is reflexive, irreflexive, symmetric, asymmetric, antisymmetric, or/and transitive. Determine whether R is an equivalence relation on B.

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
Problem 17E: Does the relation is a brother of have a reflexive property consider one male? A symmetric property...
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Let B = {1, 2, 3, 4, 5, 6} and let R be the relation on B that has the following digraph:
1
2
a.
b.
C.
d.
e.
List the elements of R.
Construct the relation matrix M.
Determine the in-degree and out-degree of each of the vertex..
Determine whether R is reflexive, irreflexive, symmetric, asymmetric,
antisymmetric, or/and transitive.
Determine whether R is an equivalence relation on B.
Transcribed Image Text:Let B = {1, 2, 3, 4, 5, 6} and let R be the relation on B that has the following digraph: 1 2 a. b. C. d. e. List the elements of R. Construct the relation matrix M. Determine the in-degree and out-degree of each of the vertex.. Determine whether R is reflexive, irreflexive, symmetric, asymmetric, antisymmetric, or/and transitive. Determine whether R is an equivalence relation on B.
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