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MathsJEE Main 4 Apr 2026, Shift 1·Q6·MCQ·Moderate

Matrices & Determinants · Adjoint and inverse properties

Let A=[112−201135].A = \begin{bmatrix} 1 & 1 & 2\\ -2 & 0 & 1\\ 1 & 3 & 5\end{bmatrix}. Then the sum of all elements of the matrix adj⁡(adj⁡(2(adj⁡A)−1))\operatorname{adj}(\operatorname{adj}(2(\operatorname{adj}A)^{-1})) is equal to:
  1. (1)3
  2. (2)4
  3. (3)−4-4
  4. (4)−3-3

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See the full 4 Apr 2026, Shift 1 paper