A. Below is a matrix of binary operation on a finite set: A = {1, 2, 3, 4} 1 2 4 1 1 2 3 4 2 3 1 4 2 3 2 4 1 4 4 2 1 1. What is 1 * 2? 2. What is 2 * 4? 3. What is 3 * 1? 4. What is 2 * 2? 5. What is the identity element for the operation? Prove your answer.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 86E
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A. Below is a matrix of binary operation on a finite set:
A = {1, 2, 3, 4}
1
2
4
1
1
2
3
4
2
3
1
4
2
3
2
4
1
4
4
2
1
1. What is 1 * 2?
2. What is 2 * 4?
3. What is 3 * 1?
4. What is 2 * 2?
5. What is the identity element for the operation? Prove your answer.
Transcribed Image Text:A. Below is a matrix of binary operation on a finite set: A = {1, 2, 3, 4} 1 2 4 1 1 2 3 4 2 3 1 4 2 3 2 4 1 4 4 2 1 1. What is 1 * 2? 2. What is 2 * 4? 3. What is 3 * 1? 4. What is 2 * 2? 5. What is the identity element for the operation? Prove your answer.
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