Let $A={{R}_{0}}\times R$, where ${{R}_{0}}$ denote the set of all non-zero real numbers. A binary operation ‘O’ is defined on A as follows: $(a,b)O(c,d)=(ac,bc+d)$ for all $\left( a,b \right),\left( c,d \right)\in {{R}_{0}}\times R$.(iii) Find the invertible element in A.

Home » Let , where denote the set of all non-zero real numbers. A binary operation ‘O’ is defined on A as follows: for all .(iii) Find the invertible element in A.

Let $A={{R}_{0}}\times R$ , where ${{R}_{0}}$ denote the set of all non-zero real numbers. A binary operation ‘O’ is defined on A as follows: $(a,b)O(c,d)=(ac,bc+d)$ for all $\left( a,b \right),\left( c,d \right)\in {{R}_{0}}\times R$ .(iii) Find the invertible element in A.

Let $A={{R}_{0}}\times R$ , where ${{R}_{0}}$ denote the set of all non-zero real numbers. A binary operation ‘O’ is defined on A as follows: $(a,b)O(c,d)=(ac,bc+d)$ for all $\left( a,b \right),\left( c,d \right)\in {{R}_{0}}\times R$ .(iii) Find the invertible element in A.

(iii) Assume $F=(m,n)$ be the inverse in $A\forall m\in {{R}_{0}}$ and $n\in R$