Let A = [(1,2),(3,4)] and B=[(a,0),(0,b)...

Let `A = [(1,2),(3,4)] and B=[(a,0),(0,b)] a, b in N` .Then

A

there cannot exists any B such that AB = BA

B

there exists 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 exists infinitely many B's such that AB = BA.

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The correct Answer is:

D

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