JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumUnclassified (maths)
Let A = \begin{pmatrix} \cos\theta & 0 & -\sin\theta \\ 0 & 1 & 0 \\ \sin\theta & 0 & \cos\theta \end{pmatrix}. If for some \theta \in (0,\pi), A2 = A^T, then the sum of the diagonal elements of the matrix (A + I)3 + (A - I)3 - 6A is equal to: