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Matrices and Determinants question

2024 · 5 Apr · Shift 1 · Q36

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JEE Main
Mathematics
Matrices and Determinants
2024 · 5 Apr · Shift 1 · Q36

Matrices and Determinants question

2024 · 5 Apr · Shift 1 · Q36

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

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 :

A
32
B
81
C
64
D
108

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