Question
Let * be a binary operation on (set of non-zero rational numbers) defined by for all . Show that * is commutative as well as associative. Also, find the identity element, if it exists.
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Practice questions from similar books
Question 1
Let
be a binary operation on
(set of all non-zero rational numbers) defined by
for all
Then, find the
identity element in
inverse of an element in Question 2
Let * be the binary operation on
defined by
of
and
. Does there exist identity for this binary operation on
?Stuck on the question or explanation?
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Question Text | Let * be a binary operation on
(set of non-zero rational numbers) defined by
for all
. Show that * is commutative as well as associative. Also, find the identity element, if it exists. |