Let A be the set A = {a, b, c, d} and R a relation on A defined as the following: R = {(a, a), (a, b), (a, c), (b, a), (b, b), (b, d), (c, a), (c, c), (c, d), (d, b), (d, c), (d, d)} Answer all the following questions: A. Represent R with a matrix (considering the elements of the set A listed in the same order as above) B. Determine whether R is reflexive, symmetric, antisymmetric or transitive C. Determine which of the following graphs represents R
Let A be the set A = {a, b, c, d} and R a relation on A defined as the following: R = {(a, a), (a, b), (a, c), (b, a), (b, b), (b, d), (c, a), (c, c), (c, d), (d, b), (d, c), (d, d)} Answer all the following questions: A. Represent R with a matrix (considering the elements of the set A listed in the same order as above) B. Determine whether R is reflexive, symmetric, antisymmetric or transitive C. Determine which of the following graphs represents R
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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1.
Let A be the set A = {a, b, c, d} and R a relation on A defined as the following:
R = {(a, a), (a, b), (a, c), (b, a), (b, b), (b, d), (c, a), (c, c), (c, d), (d, b), (d, c), (d, d)}
Answer all the following questions:
A. Represent R with a matrix (considering the elements of the set A listed in the same order as above)
B. Determine whether R is reflexive, symmetric, antisymmetric or transitive
C. Determine which of the following graphs represents R
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