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If AA is a square matrix of order 3 such that ∣A∣=3|A|=3, then the value of ∣adj(adjA)∣|adj(adjA)| is equal to

Solution

✅ Correct Option: 3

For a matrix of order nn, ∣adj(adjA)∣=∣A∣(n−1)2|adj(adj A)|=|A|^{(n-1)^2}. With n=3n=3 and ∣A∣=3|A|=3, this is 34=813^{4}=81.

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