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Let the operations* and e be defined on the set of integers. Find each of the following are commutives, associatives, left-distributive, and right-distributive. 1. a*b=ab; aeb=-a-b 2. a*b=a+2b; aeb=a-2b

Let the operations* and e be defined on the set of integers. Find each of the following are commutives, associatives, left-distributive, and right-distributive. 1. a*b=ab; aeb=-a-b 2. a*b=a+2b; aeb=a-2b

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let the operations * and e be defined on the set of integers. Find each of the following are commutives, associatives, left-distributive, and right-distributive. 1. a*b=ab; aeb=-a-b 2. a*b=a+2b; aeb=Da-2b
Transcribed Image Text:Let the operations * and e be defined on the set of integers. Find each of the following are commutives, associatives, left-distributive, and right-distributive. 1. a*b=ab; aeb=-a-b 2. a*b=a+2b; aeb=Da-2b
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