Matrices & Determinants · Determinant and adjoint properties

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(\operatorname{adj}(\operatorname{adj} P))

is:

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