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Let A = N × N and * be the binary operation on A defined by

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asked Jan 12, 2018 in Mathematics by sforrest072 (157,439 points) ● 60 ● 409 ● 933

Let A = N × N and * be the binary operation on A defined by
(a, b) * (c, d) = (a + c, b + d) 
Show that * is commutative and associative. Find the identity element for * on A, if any.

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answered Jan 12, 2018 by mdsamim (213,225 points) ● 5 ● 10 ● 15
selected Jan 12, 2018 by sforrest072
 
Best answer

Therefore, the operation * is associative.

Which is not true for any element in A. Therefore, the operation * does not have any identity element.

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