On `Z` an operation * is defined by `a*b=a^2+b^2` for all `a ,\ b in Z` . The operation * on `Z` is commutative and associative associative but not commutative (c) not associative (d) not a binary operation

On Z an operation * is defined by a*b= a^2+b^2 for all a ,\ b in Z . The operation * on Z is (a)commutative and associative (b)associative but not commutative (c) not associative (d) not a binary operation

Let * be a binary operation on Z defined by a*b= a+b-4 for all a ,\ b in Zdot Show that * is both commutative and associative.

Let * be a binary operation on Z defined by a*b=a+b-4 for all a,b in Z. show that * is both commutative and associative.

Let * be a binary operation on R defined by a*b= a b+1 . Then, * is (a)commutative but not associative (b)associative but not commutative (c)neither commutative nor associative (d) both commutative and associative

Let * be a binary operation on R defined by a*b=a b+1 . Then, * is commutative but not associative associative but not commutative neither commutative nor associative (d) both commutative and associative

Let a binary operation '*' be defined on Z by a * b = 2 a + 2b for all a, b in Z. Prove that the given operawtion is commutative but not associative.

If ** be binary operation defined on R by a**b = 1 + ab, AA a,b in R . Then the operation ** is (i) Commutative but not associative. (ii) Associative but not commutative . (iii) Neither commutative nor associative . (iv) Both commutative and associative.

Let * be a binary operation on N defined by a*b = a^(b) for all a,b in N show that * is neither commutative nor associative

A binary operation * on Z defined by a*b= 3a+b for all a ,\ b in Z , is (a) commutative (b) associative (c) not commutative (d) commutative and associative

let ** be a binary on QQ , defined by a**b=(a-b)^(2) for all a,binQQ . Show that the binary operation ** on QQ is commutative but not associative.