11. 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.
11. 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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