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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 14E
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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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