Let \alpha \beta \neq 0 and A=\left[\begin{array}{ccc}\beta & \alpha & 3 \ \alpha & \alpha & \beta \ -\beta & \alpha & 2 \alpha]\end{array}. If B=\left[\begin{array}{ccc}3 \alpha & -9 & 3 \alpha \ -\alpha & 7 & -2 \alpha \ -2 \alpha & 5 & -2 \beta]\end{array} is the matrix of cofactors of the elements of {\A}, then {\det}( {\AB}) is equal to : [5 Apr 2024 Shift 2]

JEE Main 5 Apr 2024 Shift 2 Solved Paper

Section: Mathematics

Question : 18 of 90

Marks: +1, -0

Let αβ≠0 and A=[

].
If B=[

] is the matrix of cofactors of the elements of A, then det(AB) is equal to :

[5 Apr 2024 Shift 2]

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