Question
Let be a binary operation on N given by for all Find (ii) Is * commutative? Is * associative? Find the identity element in N Which element of N are invertible? Find them.
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Practice questions from similar books
Question 1
Let
be the set of all rational numbers of the form
, where
and
Prove that * on
defined by
is not a binary operation.Question 2
denote the set of all positive rational numbers. If the binary operation
on
is defined as a
then the inverse of 3 is
(b) 2 (c)
(d) Question Text | Let
be a binary operation on N given by
for all
Find
(ii) Is * commutative?
Is * associative?
Find the identity element in N
Which element of N are invertible? Find them. |