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Invertible element (definition and exam...

Invertible element (definition and examples)

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A binary operation @ is defined on the set A={0,1,2,3,4,5} as follows: a@b=a+b(mod6) for all a,binA. Prove that oinA is the identity element In A is invertible with operation @ and each element A is invertible with 6-ainA being the inverse of the element a.