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Let A" "=" "NxxN and * be the binary ...

Let `A" "=" "NxxN` 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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Identify element does not exist
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