Consider the matrix P=\left(\begin{array}{ccc}2 & 0 & 0 \ 0 & 2 & 0 \ 0 & 0 & 3 )\end{array} Let the transpose of a matrix X be denoted by X^T. Then the number of 3 \times 3 invertible matrices Q with integer entries, such that Q^{-1}=Q^T and P Q=Q P, [JEE Adv 2025 P1]

Matrices and Determinants

Section: Mathematics

Question : 3 of 56

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Consider the matrix P=(

) Let the transpose of a matrix X be denoted by XT. Then the number of 3×3 invertible matrices Q with integer entries, such that Q−1=QT and PQ=QP,

[JEE Adv 2025 P1]

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