11./a)b)c)11 1) Consider the relation on A={1,2,3) represented by the matrix 0 101Determine if the relation is reflexive. If it is not reflexive, state why.Determine if the relation is symmetric. If it is not symmetric, state why.Sketch a digraph to represent the relation.

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11. ( a) b) c) ) Consider the relation on 4= {1,2,3) represented by the matrix 0 Determine if the relation is reflexive. If it is not reflexive, state why. [1 1 1 1 0 Sketch a digraph to represent the relation. |0 Determine if the relation is symmetric. If it is not symmetric, state why. 1 1

11. ( a) b) c) ) Consider the relation on 4= {1,2,3) represented by the matrix 0 Determine if the relation is reflexive. If it is not reflexive, state why. [1 1 1 1 0 Sketch a digraph to represent the relation. |0 Determine if the relation is symmetric. If it is not symmetric, state why. 1 1

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.7: Relations

Problem 6TFE: Label each of the following statements as either true or false. Let R be a relation on a nonempty...

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Question

11./
a)
b)
c)
11 1
) Consider the relation on A={1,2,3) represented by the matrix 0 10
1
Determine if the relation is reflexive. If it is not reflexive, state why.
Determine if the relation is symmetric. If it is not symmetric, state why.
Sketch a digraph to represent the relation.

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