[" Let "A=Q times Q" and let "*" be a binary operation on "A],[" defined by "(a,b)*(c,d)=(ac,b+ad)" for all "(a,b),],[" (r."d in A" then.the respect "to*" on "A.],[" Find the invertible element in "A.]

Let A=Q xx Q and let * be a binary operation on A defined by (a,b)*(c,d)=(ac,b+ad) for (a,b),(c,d)in A. Then,with respect to * on A* Find the invertible elements of A.

Let A=QxxQ and let * be a binary operation on A defined by (a ,\ b)*(c ,\ d)=(a c ,\ b+a d) for (a ,\ b),\ (c ,\ d) in A . Then, with respect to * on Adot Find the invertible elements of A .

Let A=Q xx Q and let * be a binary operation on A defined by (a,b)*(c,d)=(ac,b+ad) for (a,b),(c,d)in A. Then,with respect to * on A* Find the identity element in A

Let A=QxQ and let * be a binary operation on A defined by (a,b)*(c,d)=(ac,b+ad) for (a,b),(c,d)in A. Then,with respect to * on A Find the identity element in A Find the invertible elements of A.

Let A=QxxQ and let ** be a binary operation on A defined by (a ,\ b)*(c ,\ d)=(a c ,\ b+a d) for (a ,\ b),\ (c ,\ d) in A . Then, with respect to ** on A . Find the identity element in A .

Let A=Q x Q and let * be a binary operation on A defined by (a , b)*(c , d)=(a c , b+a d) for (a , b),(c , d) in Adot Then, with respect to * on A Find the identity element in A Find the invertible elements of A.

Let S =Q xx Q and let * be a binary operation on S defined by (a, b)* (c,d) = (ac, b+ad) for (a, b), (c,d) in S. Find the identity element in S and the invertible elements of S.

Let A=N uu{0}xx N uu{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 A. Show that * is commutative on A.

Let A=N uu{0}xx N uu{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 A* show that * is associative on A.

Let A=N xx N, and let * be a binary operation on A defined by (a,b)*(c,d)=(ad+bc,bd) for all (a,b),(c,d)in N xx N* Show that A has no identity element.