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L Operations is defined on the set {1, 2, 3, 4} as shown in the table below. a) What is the value of 1*2? How did you get its value? b) Is this operation commutative? Explain c) What is the identity element of the operation? Justify your answer. d) What is the inverse of each element? Explain the inverse of each element e) Is multiplication a binary operation on the set of rational numbers Q? If yes, why? If no, explain and give a counterexample. *123 4 14321 23 14 2 324 13 4 12 34

L Operations is defined on the set {1, 2, 3, 4} as shown in the table below. a) What is the value of 1*2? How did you get its value? b) Is this operation commutative? Explain c) What is the identity element of the operation? Justify your answer. d) What is the inverse of each element? Explain the inverse of each element e) Is multiplication a binary operation on the set of rational numbers Q? If yes, why? If no, explain and give a counterexample. *123 4 14321 23 14 2 324 13 4 12 34

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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Operations is defined on the set {1,2, 3, 4} as shown in the table below: a) What is the value of 1*2? How did you get its value? b) Is this operation commutative? Explain c) What is the identity element of the operation? Justify your answer. d) What is the inverse of each element? Explain the inverse of each element. e) Is multiplication a binary operation on the set of rational numbers Q? If yes, why? If no, explain and give a counterexample *1 2 34 14 321 23 142 32 4 13 4 1 2 34
Transcribed Image Text:Operations is defined on the set {1,2, 3, 4} as shown in the table below: a) What is the value of 1*2? How did you get its value? b) Is this operation commutative? Explain c) What is the identity element of the operation? Justify your answer. d) What is the inverse of each element? Explain the inverse of each element. e) Is multiplication a binary operation on the set of rational numbers Q? If yes, why? If no, explain and give a counterexample *1 2 34 14 321 23 142 32 4 13 4 1 2 34
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