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  4. If A is a 3 × 3 matrix with real entries such that det. (adj A)=16, then det. (adj(adj A)) is equal to

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Q. If $A$ is a $3 \times 3$ matrix with real entries such that det. $({adj} A)=16$, then det. $({adj}({adj} A))$ is equal to

Matrices

Solution:

$|{adj} \cdot({adj} \cdot A)|=|{adj} \cdot A|^{2}=(16)^{2}=256$