MathsJEE Main 23 Jan 2026, Shift 2·Q24·Numerical·Moderate

Matrices & Determinants · Orthogonal and skew-symmetric matrices

Let

A = \begin{bmatrix} 0 & 2 & -3\\ -2 & 0 & 1\\ 3 & -1 & 0\end{bmatrix}

and

B

be a matrix such that

B(I - A) = I + A

. Then the sum of the diagonal elements of

B^{T}B

is equal to .

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