Let A=\left[\begin{array}{ccc}\cos \theta & 0 & - \sin \\\\theta \ 0 & 1 & 0 \ \sin \\\\theta & 0 & \cos \theta]\end{array}. If for some \theta \in(0, \pi), A^2=A^T, then the sum of the diagonal elements of the matrix (A+I)^3+(A-I)^3-6 A is equal to \_\_\_\_ . [4 Apr 2025 Shift 1]

JEE Main 4 Apr 2025 Shift 1 Paper

Section: Mathematics

Question : 25 of 75

Marks: +1, -0

Let A=[

].‌‌ If for some θ∈(0,π),A2=AT, then the sum of the diagonal elements of the matrix (A+I)3+(A−I)3−6A is equal to ____ .

[4 Apr 2025 Shift 1]

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