TS EAMCET · Maths · Matrices
If \(A=\left[\begin{array}{ll}1 & 2 \\ 3 & 4\end{array}\right]\), then \(\operatorname{Adj}(\operatorname{Adj}(\operatorname{Adj} A))=\)
- A A
- B \(\mathrm{A}^{-1}\)
- C \(|\mathrm{A}| \mathrm{A}^{-1}\)
- D \(\frac{\mathrm{A}^{-1}}{|\mathrm{~A}|}\)
Answer & Solution
Correct Answer
(C) \(|\mathrm{A}| \mathrm{A}^{-1}\)
Step-by-step Solution
Detailed explanation
\( \operatorname{Adj}(\operatorname{Adj} A) = A \) (for a 2x2 matrix). \( \operatorname{Adj}(\operatorname{Adj}(\operatorname{Adj} A)) = \operatorname{Adj}(A) \). \( \operatorname{Adj}(A) = |A| A^{-1} \).
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