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MathsJEE Main 23 Jan 2026, Shift 1·Q21·Numerical·Moderate

Matrices & Determinants · Adjoint and determinant properties

Let ∣A∣=6\lvert A\rvert = 6, where AA is a 3×33\times3 matrix. If ∣adj⁡(3adj⁡(A2⋅adj⁡(2A)))∣=2m⋅3n\lvert\operatorname{adj}(3\operatorname{adj}(A^2\cdot\operatorname{adj}(2A)))\rvert = 2^m\cdot3^n, m,n∈Nm, n \in \mathbb{N}, then m+nm + n is equal to .

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