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.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
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.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,