Home
Class 12
MATHS
Let A = N × N and ⋅ be...

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.

Promotional Banner

Similar Questions

Explore conceptually related problems

Let A" "=" "NxxN 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 = N x N and (a,b)*(c,d) = (a+c, b+d) on A. Show that * is commutative and associative. Find the identity element if exists.

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 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 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=NN 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 = 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.