Let the set A = {2, 3, 8, 12} and the relation R defined as the following R = { (2, 2), (2, 8), (2, 12), (3, 3), (3, 12), (8, 8), (12, 12)} A. Represent R with a matrix (considering the elements of the set A listed in the same order as above) B. Determine the properties of the relation R (reflexive, symmetric, antisymetric, transitive, and/ or equivalence). C. Which of the followings describes R? 1. R = {(a, b) | a divides b} 2. R = {(a, b) | a > b} 3. R = {(a, b) | a + b < 15

Let the set A = {2, 3, 8, 12} and the relation R defined as the following R = { (2, 2), (2, 8), (2, 12), (3, 3), (3, 12), (8, 8), (12, 12)} A. Represent R with a matrix (considering the elements of the set A listed in the same order as above) B. Determine the properties of the relation R (reflexive, symmetric, antisymetric, transitive, and/ or equivalence). C. Which of the followings describes R? 1. R = {(a, b) | a divides b} 2. R = {(a, b) | a > b} 3. R = {(a, b) | a + b < 15

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter5: Orthogonality

Section5.5: Applications

Problem 30EQ

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