AP EAMCET · Maths · Matrices
If \(A\) is a \(3 \times 3\) matrix and \(|A|=2\), then \(\mid \operatorname{Adj}\) \((\operatorname{Adj} A) \mid \operatorname{Adj}(\operatorname{Adj} A)=\)
- A \(32 \mathrm{~A}\)
- B \(64 \mathrm{~A}\)
- C \(16 \mathrm{~A}\)
- D \(8 \mathrm{~A}\)
Answer & Solution
Correct Answer
(A) \(32 \mathrm{~A}\)
Step-by-step Solution
Detailed explanation
As, adj \(\operatorname{adj}(\mathrm{A})=|A|^{n-2} A\), where \(n\) is the order of matrix \(A\). and \(|\operatorname{adj} \operatorname{adj}(A)|=|A|^{(n-1)^2}\) So, \(|\operatorname{adj} \operatorname{adj} A|(\operatorname{adj} \operatorname{adj} A)=|A|^{(n-1)^2}|A|^{n-2} A\)…
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