Let \alpha \in(0, \infty) and A=\left[\begin{array}{ccc}1 & 2 & \alpha \ 1 & 0 & 1 \ 0 & 1 & 2]\end{array}. If {\det} ({\adj} (2 A-A^T) \cdot {\adj} (A-2 A^T) ) =2^8, then ({\det}( {\A}))^2 is equal to : [4 Apr 2024 Shift 1]

JEE Main 4 Apr 2024 Shift 1 Solved Paper

Section: Mathematics

Question : 20 of 90

Marks: +1, -0

Let α∈(0,∞) and A=[

].
If det(adj(2A−AT)⋅adj(A−2AT))=28, then (det(A))2 is equal to :

[4 Apr 2024 Shift 1]

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