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

Let `{:A=[(1,2),(3,4)]and BA=[(a,0),(0,b)]:},a,b in N` Then,

A

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

B

there cannot exist B such that AB=BA

C

there exist more than one but finite number of B's such that AB= BA

D

there exists exactly one B such that AB=BA

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • Let {:A=[(1,2),(3,4)]and B=[(a,0),(0,b)]:},a,b in N Then,

    A
    there connot exist any B such that AB=BA.
    B
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    C
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    D
    there exist infinitely many B's such that AB=BA.
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    2
    D
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    There exist more than one but finite number of B's such that AB = BA
    B
    There exists exactly one B such that AB = BA
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    D
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