Let `A= Q xx Q`. Let'*' be a binary operation on A defined by: (a, b) * (c, d)= (ac, ad + b). Find the invertible elements of A.

Let A= Q xx Q . Let'*' be a binary operation on A defined by: (a, b) * (c, d)= (ac, ad + b). Find the identity element of A

Let A = Q xx Q , where Q is the set of all natural involved and * be the binary operation on A defined by (a,b)* (c,d) =(ac,b+ad) for (a,b), (c,d) in A. Then find Invertible elements of A, and hence write the inverse of elements (5,3) and (1/2, 4)

Let A = Q xx Q , where Q is the set of all rational numbers and * be a binary operaton on A defined by (a,b) * (c,d) = (ac, ad+b) for all (a,b), (c,d) in A. Then find the identify element of * in A.

Let A = N xx N being the set of natural numbers. Let '*' be a binary operation on A defined by (a,b) * (c,d) = (a+c,b+d). Show that identity element w.r.t '*' does not exist.

Let A = Q xx Q,Q being the set of rationals. Let '*' be a binary operation on A, defined by (a,b) * (c,d) = (ac,ad+b). Show that '*' is not commutative.

Let A = Q xx Q,Q being the set of rationals. Let '*' be a binary operation on A, defined by (a,b) * (c,d) = (ac,ad+b). Show that '*' is associative.

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 and associative. Find the identity element for ∗ on A, if any.

Let A = R xx R and * be a 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. Also find the inverse of every element (a,b) in A.

Let ** be a binary operation defined by a **b =2a + b-3 Find 3 ** 4 .

let A = N xxN 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 identify element for * on A, if any.