Give the matrix representation for the relation depicted in the arrow dia- gram. Then, express the relation as a set of ordered pairs. The arrow diagram below represents a relation. 2 3 Figure 1: An arrow diagram shows three vertices, 1, 2, and 3. An arrow from vertex 1 points to vertex 3, and another arrow from vertex 2 points to verter 3. Two self loops are formed, one at vertex 1 and another at verter 2. Draw the arrow diagram for the relation. The domain for the relation A is the set {2, 5, 7, 8, 11}. For z, y in the domain, xAy if |x − y is less than 2.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
Problem 69EQ
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(a) Give the matrix representation for the relation depicted in the arrow dia-
gram. Then, express the relation as a set of ordered pairs.
The arrow diagram below represents a relation.
1
3
Figure 1: An arrow diagram shows three vertices, 1, 2, and 3. An arrow
from vertex 1 points to vertex 3, and another arrow from vertex 2 points to
verter 3. Two self loops are formed, one at vertez 1 and another at verter
2.
(b) Draw the arrow diagram for the relation.
The domain for the relation A is the set {2, 5, 7, 8, 11}. For a, y in the
domain, rAy if |x – y| is less than 2.
Transcribed Image Text:(a) Give the matrix representation for the relation depicted in the arrow dia- gram. Then, express the relation as a set of ordered pairs. The arrow diagram below represents a relation. 1 3 Figure 1: An arrow diagram shows three vertices, 1, 2, and 3. An arrow from vertex 1 points to vertex 3, and another arrow from vertex 2 points to verter 3. Two self loops are formed, one at vertez 1 and another at verter 2. (b) Draw the arrow diagram for the relation. The domain for the relation A is the set {2, 5, 7, 8, 11}. For a, y in the domain, rAy if |x – y| is less than 2.
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