Matrices and Determinants: JEE Main 2026 Mathematics question

JEE Main 2026 · 24 Jan, Evening shift · Q15

JEE Main 202624 Jan, Evening shiftMathematicsEasyMatrices and Determinants245× since 2002

Let

P=[p_{ij}]

and

Q=[q_{ij}]

be two square matrices of order 3 such that

q_{ij}=2^{(i+j-1)}p_{ij}

and

\det(Q)=2^{10}

. Then the value of

\det(adj(adj\,P))

is:

JEE Main 2026 · 24 Jan, Evening shift · Q15

JEE Main 202624 Jan, Evening shiftMathematicsEasyMatrices and Determinants245× since 2002

Let

P=[p_{ij}]

and

Q=[q_{ij}]

be two square matrices of order 3 such that

q_{ij}=2^{(i+j-1)}p_{ij}

and

\det(Q)=2^{10}

. Then the value of

\det(adj(adj\,P))

is:

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