JEE Main 2026 Mathematics question

MathematicsMatricesJEE Main 2026

Let . Then the sum of all elements of the matrix adj(adj(2(adjA)⁻¹)) is equal to:

Answer: (D)

Solution

Direct computation of adj(A)⁻¹, then 2(adjA)⁻¹, then two successive adjugates, gives a matrix whose elements sum to −3.

Question ID VK-015265