PROBLEM 3 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 verter i points to verter 3, and another errowr from verter 2 points to verter 3. Two self loops are formed, one at verter 1 and another at vertez 2.
PROBLEM 3 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 verter i points to verter 3, and another errowr from verter 2 points to verter 3. Two self loops are formed, one at verter 1 and another at vertez 2.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:## Problem 3
### Task:
Give the matrix representation for the relation depicted in the arrow diagram. Then, express the relation as a set of ordered pairs.
### Diagram Description:
The arrow diagram below represents a relation.
**Figure 1**: An arrow diagram shows three vertices: 1, 2, and 3.
- An arrow from vertex 1 points to vertex 3.
- Another arrow from vertex 2 points to vertex 3.
- Two self loops are formed, one at vertex 1 and another at vertex 2.
### Instructions:
1. **Matrix Representation**: Create a matrix reflecting the given arrow diagram.
2. **Set of Ordered Pairs**: Express the relation in terms of ordered pairs based on the diagram.
### Additional Exercise:
Draw the arrow diagram for the relation.
**Domain**: The domain for the relation \( A \) is the set \(\{2, 5, 7, 8, 11\}\). For \( x, y \) in the domain, \( xAy \) if \(|x - y|\) is less than 2.
Expert Solution
Step 1: Given.
Note: We'll answer the first question since the exact one wasn't specified. Please submit a new question specifying the one you'd like answered.
Given: The arrow diagram given below:
To find: Matrix representation and relation as set of ordered pairs.
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
