NVAMediumJEE Main 2026 · 23 January, Shift 2Algebra of Matrices

Mathematics Question from JEE Main 2026 · 23 January, Shift 2

Let A=[023201310]A = \begin{bmatrix} 0 & 2 & -3 \\ -2 & 0 & 1 \\ 3 & -1 & 0 \end{bmatrix} and BB be a matrix such that B(IA)=I+AB(I - A) = I + A. Then the sum of the diagonal elements of BTBB^T B is equal to _____

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