TS EAMCET · Maths · Matrices
If \(A=\left[\begin{array}{lll}1 & 2 & 2 \\ 2 & 1 & 1 \\ 1 & 2 & 1\end{array}\right]\), then \(\left|\operatorname{Adj}\left(A^2\right)\right|=\)
- A \(9\)
- B \(27\)
- C \(729\)
- D \(81\)
Answer & Solution
Correct Answer
(D) \(81\)
Step-by-step Solution
Detailed explanation
\( |A| = 1(1 \cdot 1 - 1 \cdot 2) - 2(2 \cdot 1 - 1 \cdot 1) + 2(2 \cdot 2 - 1 \cdot 1) \) \( |A| = 1(-1) - 2(1) + 2(3) = 3 \) \( \left|\operatorname{Adj}\left(A^2\right)\right| = \left|A^2\right|^{3-1} \)…
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