a. If R is a relation defined from the Set A = (6,12,25,36} to the set B = {3,4,5,6) as follows: R = (x,y) € Ax B|y divides x} Find the following: i Relation set of R in roster form. ii Domain and Range of the relation R. iii. Restriction of R on C, where C = (6,12}). Find the element related to D, Where D = (25,36). iv. v. Find the matrix form of R.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 14E: In each of the following parts, a relation is defined on the set of all human beings. Determine...
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a. If R is a relation defined from the Set A = (6,12,25,36} to the set B = {3,4,5,6) as follows:
R = (x,y) € Ax B|y divides x}
Find the following:
i Relation set of R in roster form.
ii Domain and Range of the relation R.
iii. Restriction of R on C, where C = (6,12}).
Find the element related to D, Where D = (25,36).
iv.
v. Find the matrix form of R.
Transcribed Image Text:a. If R is a relation defined from the Set A = (6,12,25,36} to the set B = {3,4,5,6) as follows: R = (x,y) € Ax B|y divides x} Find the following: i Relation set of R in roster form. ii Domain and Range of the relation R. iii. Restriction of R on C, where C = (6,12}). Find the element related to D, Where D = (25,36). iv. v. Find the matrix form of R.
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