Math miscellaneousHard
Question
Let A =
and B = 
, a , b ∈ N. Then
and B = , a , b ∈ N. ThenOptions
A.there cannot exist any B such that AB = BA
B.there exist more than one but finite number of B′s such that AB = BA
C.there exists exactly one B such that AB = BA
D.there exist infinitely many B′s such that AB = BA
Solution
A = 
B = 
AB =
BA =
AB = BA only when a = b
B = AB =
BA =
AB = BA only when a = b
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