Let A = N × N and * be the binary operation on A defined by (a, b) * (c, d) = (a + c, b + d). Then * is

Let A = N × N and * be the binary operation on A defined by (a, b) * (c, d) = (a + c, b + d). Then * is

A

commutative

B

associative

C

Both (a) and (b)

D

None of these

Answer:

The correct option is C. Both (a) and (b)

Note