Let `A=NxNa n d^(prime)*'` be a binaryoperation on A defined by `(a , b)*(C , d)=(a c , b d)` for all `a , b , c , d , in Ndot` Show that `'*'` is commutative and associative binary operation on A.

Let A=Nuu{0}xxNuu{0} and let * be a binary operation on A defined by (a ,\ b) * (c ,\ d)=(a+c ,\ b+d) for all (a ,\ b),\ (c ,\ d) in Adot Show that * is commutative on Adot

Let A=NxN , and let * be a binary operation on A defined by (a , b)*(c , d)=(a d+b c , b d) for all (a , b),c , d) in NxNdot Show that : '*' is commutative on A '*^(prime) is associative on A A has no identity element.

Let A=NxxN , and let * be a binary operation on A defined by (a ,\ b)*(c ,\ d)=(a d+b c ,\ b d) for all (a ,\ b),\ (c ,\ d) in NxxNdot Show that: * is commutative on Adot (ii) * is associative on Adot

Let R_0 denote the set of all non-zero real numbers and let A=R_0xxR_0 . If . is a binary operation on A defined by (a ,\ b)*(c ,\ d)=(a c ,\ b d) for all (a ,\ b),\ (c ,\ d) in Adot Show that . is both commutative and associative on A

Let A=Nuu{0}xxNuu{0} and let * be a binary operation on A defined by (a ,\ b)*(c ,\ d)=(a+c ,\ b+d) for all (a ,\ b),\ (c ,\ d) in Adot Show that * is associative on Adot

Let R_0 denote the set of all non-zero real numbers and let A=R_0xxR_0 . If * is a binary operation on A defined by (a ,\ b)*(c ,\ d)=(a c ,\ b d) for all (a ,\ b),\ (c ,\ d) in Adot Show that * is both commutative and associative on A (ii) Find the identity element in A

Let A=NxxN , and let * be a binary operation on A defined by (a ,\ b)*(c ,\ d)=(a d+b c ,\ b d) for all (a ,\ b),\ (c ,\ d) in NxxNdot Show that A has no identity element.

Let A = R × R 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.

Let A = N xx N and * be the binary operation on A defined by (a, b) * (c, d) = (a + c, b + d). Show that * is commutative.

Let A = R × R 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.