Determinant of adjoint

Home Forums Math Olympiad, I.S.I., C.M.I. Entrance Determinant of adjoint

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    Aniruddha Bardhan
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    see the attachement.

    My approach: B=adj(A) and C=adj(B). so det (B)= A^2=2^2 and det (C)=B^2=2^4.

    so det(2AB^TC)= 2^8 . I did not get any option with 2^8

    May be I am wrong kindly check.

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