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If matrix `A=[(a,b,c),(b,c,a),(c,a,b)]` where a,b and c are real positive number abc=1 and `A^(T)A=I`, then which of the following is true

A

`a^(3)+b^(3)+c^(3)=4`

B

`a^(3)+b^(3)+c^(3)=3`

C

`a^(3)+b^(3)+c^(3)=6`

D

`a^(3)+b^(3)+c^(3)=0`

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The correct Answer is:
A
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