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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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Answer» 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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