Tuesday, 11 June 2013

Let ∗ be the binary operation on N given by a ∗ b = L.C.M. of a and b. Find

Let ∗ be the binary operation on N given by a ∗ b = L.C.M. of a and b. Find
(i) 5 ∗ 7, 20 ∗ 16 (ii) Is ∗ commutative?
(iii) Is ∗ associative? 

(iv) Find the identity of ∗ in N
(v) Which elements of N are invertible for the operation ∗?


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