Question
Let be a binaryoperation on A defined by for all Show that is commutative and associative binary operation on A.
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Practice questions from similar books
Question 1
Let be the set of all rational number except 1 and * be defined on by for all
Prove that (i) * is a binary operation on \displaystyle{\left({i}{i}\right)}\cdot{i}{s}{c}{o}{m}\mu{t}{a}{t}{i}{v}{e}{a}{s}{w}{e}{l}{l}{a}{s}{a}{s}{s}{o}{c}{i}{a}{t}{i}{v}{e}.Question Text | Let
be a binaryoperation on A defined by
for all
Show that
is commutative and associative binary operation on A. |