Let a \in \mathbb{R} and A be a matrix of order 3 \times 3 such that {\det}(A)=-4 and A+I=\left[\begin{array}{ccc}1 & a & 1 \ 2 & 1 & 0 \ a & 1 & 2]\end{array}, where I is the identity matrix of order 3 \times 3. If {\det}((a+1) {\adj}((a -1) A )) is 2^m 3^n, m, n \in\{0,1,2, . . ., 20\}, then m+n is equal to [2 Apr 2025 Shift 1]

JEE Main 2 Apr 2025 Shift 1 Paper

Section: Mathematics

Question : 1 of 75

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Let a∈ℝ and A be a matrix of order 3×3 such that det(A)=−4 and A+I=[

], where I is the identity matrix of order 3×3. If det((a+1)‌adj((a −1)‌A )) is 2m3n,m,n∈{0,1,2,...,20}, then m+n is equal to

[2 Apr 2025 Shift 1]

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