2. 1 9 efConsider the relation R on Z² given by:R= {((a,b), (c, d)) : a +d = c+b}Prove that R is an equivalence relation, and determine 3 elements of[(1,3)], the equivalence class of (1, 3).

To prove a relation to be equivalence, it should be : 1) Reflexive 2) Symmetric 3) Transitive

Answered: 2. 1 9 ef Consider the relation R on Z²…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Example 1.3.2 Consider a relation R = {(1,1),(2,2),(3,4),(4,3)}, defined on set A = {1,2,3,4}. Obtain R* (Reflexive and transitive closure of R)
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2. 1 9 ef Consider the relation R on Z² given by: R= {((a,b), (c, d)) : a +d = c+b} Prove that R is an equivalence relation, and determine 3 elements of [(1,3)], the equivalence class of (1, 3).