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Let α ∈ (0, ∞ ) and A = ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎣ ⎡ α 2 1 0 1 0 1 2 1 . If det (adj(2A – A T ).adj(A – 2A T )) = 2 8 , then (det(A)) 2 is equal to-

1. 1
2. 49
3. 16
4. 36

Correct answer: 16

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