1. Suppose that the matrix representation of a relation is given by 11 1 1 0 1 1 1 0 0 11 0 0 0 1 MR = a) Is this relation R reflexive? b) Is this relation R symmetric? c) Is this relation R antisymmetric?

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter4: More On Groups
Section4.1: Finite Permutation Groups
Problem 33E: Exercises 33. Prove Theorem : Let be a permutation on with . The relation defined on by if and...
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1.
Suppose that the matrix representation of a relation is given by
1 1 1 1
0 1 1 1
0 0 1 1
0 0 0 1
MR
a) Is this relation R reflexive?
b) Is this relation R symmetric?
c) Is this relation R antisymmetric?
Transcribed Image Text:1. Suppose that the matrix representation of a relation is given by 1 1 1 1 0 1 1 1 0 0 1 1 0 0 0 1 MR a) Is this relation R reflexive? b) Is this relation R symmetric? c) Is this relation R antisymmetric?
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