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An element is said to be invertible only if there is an identity element in that binary operation.(a) True(b) FalseI have been asked this question in quiz.I'm obligated to ask this question of Binary Operations topic in division Relations and Functions of Mathematics – Class 12

Answer»

The correct option is (a) True

The best I can explain: The given statement is true. If there is a binary OPERATION *:M×M → M with an IDENTITY element a∈ M is said to be invertible with respect to the binary operation * if there EXISTS an element b ∈ M such that a*b = e = b*a, b is called INVERSE of a.



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