JEE Main 20245 Apr, Morning shiftMathematicsMediumMatrices and Determinants245× since 2002Let A and B be two square matrices of order 3 such that ∣A∣=3\mathrm{|A|=3}∣A∣=3 and ∣B∣=2\mathrm{|B|=2}∣B∣=2. Then ∣ATA(adj(2 A))−1(adj(4 B))(adj(AB))−1AAT∣|\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}}|∣ATA(adj(2 A))−1(adj(4 B))(adj(AB))−1AAT∣ is equal to :AOption A. 32BOption B. 81COption C. 64DOption D. 108CheckSkip · show solution
