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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, bin N.` Then,

A

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

B

There cannot exist any B such that `AB=BA`

C

There exists exactly one B such that `AB=BA`

D

There exist infinity may B's such that AB=BA

Text Solution

Verified by Experts

The correct Answer is:
D
`becauseAB=[{:(1,2b),(3a,4b):}]` and `BA=[{:(1,2a),(3b,4b):}]`
`therefore` for `AB=BA`
`a=b`
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