Problem 2. Let * be a binary operation on set of rational number Q defined as follows: a *b = a +b+2ab, where a, b e Q, a) Prove that * is commutative, associative algebraic operation on Q. Solution. b) Find the identity element if any. Solution. c) Find the zero element if any . MATH 4430 Text 5020 Text Spring 2020 Solution. d) Find all invertible elements if any.

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Problem 2. Let * be a binary operation on set of rational number Q defined as follows:
a *b = a +b+2ab, where a, b e Q,
a) Prove that * is commutative, associative algebraic operation on Q.
Solution.
b) Find the identity element if any.
Solution.
c) Find the zero element if any .
MATH 4430 Text 5020
Text
Spring 2020
Solution.
d) Find all invertible elements if any.
Transcribed Image Text:Problem 2. Let * be a binary operation on set of rational number Q defined as follows: a *b = a +b+2ab, where a, b e Q, a) Prove that * is commutative, associative algebraic operation on Q. Solution. b) Find the identity element if any. Solution. c) Find the zero element if any . MATH 4430 Text 5020 Text Spring 2020 Solution. d) Find all invertible elements if any.
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