If A=[(a,x),(y,a)] and if xy=1, then det...

If `A=[(a,x),(y,a)]` and if `xy=1`, then det `(A A^(T))` is equal to

A

`a^(2)-1`

B

`(a^(2)+1)^(2)`

C

`1-a^(2)`

D

`(a^(2)-1)^(2)`

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The correct Answer is:

D

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