Let a, b and c are the roots of the equa...

Let a, b and c are the roots of the equation `x^(3)-7x^(2)+9x-13=0` and A and B are two matrices given by `A=[(a,b,c),(b,c,a),(c,a,b)] and B=[(bc-a^(2),ca-b^(2),ab-c^(2)),(ca-b^(2),ab-c^(2),bc-a^(2)),(ab-c^(2),bc-a^(2),ca-b^(2))]`, then the value `|A||B|` is equal to

A

`-154`

B

`-(154)^(3)`

C

`-22`

D

`-(22)^(3)`

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The correct Answer is:

B

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