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

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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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