Matrices And Determinants

Let A and B be two square matrices of order 3 such that \(\mathrm{|A|=3}\) and \(\mathrm{|B|=2}\). Then \(|\mathrm{A}^{\mathrm{T}} \mathrm{A}(\operatorname{adj}(2 \mathrm{~A}))^{-1}(\operatorname{adj}(4 \mathrm{~B}))(\operatorname{adj}(\mathrm{AB}))^{-1} \mathrm{AA}^{\mathrm{T}}|\) is equal to :