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MathsJEE Main 2 Apr 2026, Shift 2·Q22·Numerical·Easy–moderate

Matrices & Determinants · Inverse of a matrix

Consider the matrices A=[2−24−2]andB=[3913].A = \begin{bmatrix} 2 & -2\\ 4 & -2\end{bmatrix} \quad\text{and}\quad B = \begin{bmatrix} 3 & 9\\ 1 & 3\end{bmatrix}. If matrices PP and QQ are such that PA=BPA = B and AQ=BAQ = B, then the absolute value of the sum of the diagonal elements of 2(P+Q)2(P + Q) is .
We corrected a printing error in the original paper

Source printed “B” directly followed by the matrix, without the “=” sign.

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