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Let ** be binary operation on N defined ...

Let `**` be binary operation on N defined by `a ** b` = L.C.M. of a and b. Find
(i) Identify element of `**` in N
(ii) Elements of N which are invertible to the operation *

Text Solution

AI Generated Solution

To solve the problem, we will go through the two parts step by step. ### Part (i): Identify the identity element of `**` in N 1. **Definition of Identity Element**: An identity element `e` for a binary operation `*` satisfies the property that for every element `a` in the set, `a * e = a` and `e * a = a`. 2. **Operation Definition**: In this case, the operation `**` is defined as `a ** b = L.C.M. of a and b`. ...
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