Answered: A. Let R be a relation on set A. A={x :…

A. Let R be a relation on set A. A={x : x ∊ J and 0 ≤ x ≤ 12}, and R={(a,b) : a - b is multiple of 2 } . Represent this relation by a matrix.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.7: Relations

Problem 28E

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Question

A. Let R be a relation on set A. A={x : x ∊ J and 0 ≤ x ≤ 12}, and R={(a,b) : a - b is multiple of 2 } . Represent this relation by a matrix.

B. Using induction, prove that 6ⁿ - 1 is divisible by 5, where n ∊ N

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