Let P = [ p i j ] and Q = [ q i j ] be two square matrices of order 3 such that q i j = 2 ( i + j - 1 ) p i j and det ( Q ) = 2 10 . Then the value of det ( adj ( adj P ) ) is: [2026]

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Solution

Q.
Let $P = [p_{i j}]$ and $Q = [q_{i j}]$ be two square matrices of order 3 such that $q_{i j} = 2^{(i + j - 1)} p_{i j}$ and $\det (Q) = 2^{10} .$ Then the value of $\det (adj (adj P))$ is: [2026]

1 124

2 16

3 81

4 32

Ans.
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