Considering A as a set which contains the elements (2,3,4,5,6,7,8). Define a relation R from A to A by R-{(xS): y is multiple of x and x#y} [Multiple means "a number that may be divided by another a certain number of times without a remainder. Example: "15, 20, are multiples of 5 a Write R b. Depict this relation R using an arrow diagram. c. Write the matrix representation for R.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 29E
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QUESTION 5
Considering A as a set which contains the elements (2,3.4,5,6,7,81, Define a relation R from A to
A by R-{(xy): y is multiple of x and x±y}
(Multiple means "a number that may be divided by another a certain number of times without a
remainder. Example: "15, 20, are muitiples of 5"
a Write R
b. Depict this relation Rusing an arrow diagram.
c. Write the matrix representation for R.
d. Check whether R is reflexive, symmetric, antisymmetric.
Transcribed Image Text:QUESTION 5 Considering A as a set which contains the elements (2,3.4,5,6,7,81, Define a relation R from A to A by R-{(xy): y is multiple of x and x±y} (Multiple means "a number that may be divided by another a certain number of times without a remainder. Example: "15, 20, are muitiples of 5" a Write R b. Depict this relation Rusing an arrow diagram. c. Write the matrix representation for R. d. Check whether R is reflexive, symmetric, antisymmetric.
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