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If A is a square matrix of order 3 such that I A I = 9, then the value of 12 adj A I is

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answer is A.

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Detailed Solution

$\begin{array}{l} | 2 adj A | = 2^{3} ∣ adj A ∣ \\ = 8 \cdot | A |^{3 - 1} = 8 \times | A |^{2} \\ = 8 \times 9^{2} = 648 \end{array}$

$∴$ Option (a) is the correct answer.

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