Let A and B are two non - singular matri...

Let A and B are two non - singular matrices of order 3 such that `|A|=3 and A^(-1)B^(2)+2AB=O`, then the value of `|A^(4)-2A^(2)B|` is equal to (where O is the null matrix of order 3)

A

0

B

`5^(6)`

C

`2^(2)5^(6)`

D

`3^(4)5^(3)`

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The correct Answer is:

D

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