MCQMediumJEE Main 2026 · 24 January, Shift 2Inverse & Adjoint of a Matrix

Mathematics Question from JEE Main 2026 · 24 January, Shift 2

Let P=[pij]P=[p_{ij}] and Q=[qij]Q=[q_{ij}] be two square matrices of order 33 such that qij=2(i+j1)pijq_{ij}=2^{(i+j-1)}p_{ij} and det(Q)=210\det(Q)=2^{10}. Then the value of det(adj(adjP))\det(\operatorname{adj}(\operatorname{adj} P)) is

  • A

    8181

  • B

    1616

  • C

    3232

  • D

    124124

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