7. (3ρ.Let V = {1,2,3, 4, 5, 6}. A binary relation is defined on V. Draw a diagram for each(a) (x, y) E p₁ means gcd(x, y)=1.(b) (x,y) Є p2 means x❘y, or y|x.

Part (a) Given set : V={1,2,3,4,5,6}Relation ρ1:(x,y)∈ρ1 if gcd(x,y)=1, i.e., x and y are…

Answered: 7. (3 ρ. Let V = {1,2,3, 4, 5, 6}. A…

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter8: Functions

Section8.1: Concept Of A Function

Problem 100PS

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Similar questions

a. Find all relations from {a. b. c} to {u, v} b. Find all functions from {a. b. c} to {u, v} c. What fraction of the relations from {a. b. c} to {u, v} are functions?
You are given two graphs G and H with V(G) = {a, b, c, d} and V(H) = {1, 2, 3}. 1. How many relations can be defined from set V(G) to set V(H)? 2. How many functions can be defined from set V(G) to set V(H)? 3. How many bijections can be defined from set V(G) to V(G)?
a. Write R as a set of ordered pairs.
3. Let A = {-1, –3, – 5}, B = {a, B, 7}, C = {x, y, z}. Consider the relations R from A to B and S from B to C respectively. R = {(-1,8), (–3, a), (–3, 7)} and S = {(a, y), (B, x), (7, y), (y, 2)} Find the following relations (a) Find the composition Ro S. (b) Find the matrices MR, Ms and MRos of the respective relations R, S and Ro S. (c) Compare M Ros to the product MRMS.

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7. (3 ρ. Let V = {1,2,3, 4, 5, 6}. A binary relation is defined on V. Draw a diagram for each (a) (x, y) E p₁ means gcd(x, y)=1. (b) (x,y) Є p2 means x❘y, or y|x.