JEE Mains · Maths · STD 12 - 3 and 4 . metrices and determinant
Let \(x , y , z > 1\) and \(A=\left[\begin{array}{lll}1 & \log _x y & \log _x z \\ \log _y x & 2 & \log _y z \\ \log _z x & \log _z y & 3\end{array}\right]\) .Then \(\left|\operatorname{adj}\left(\operatorname{adj} A^2\right)\right|\) is equal to
- A \(6^4\)
- B \(2^8\)
- C \(4^8\)
- D \(2^4\)
Answer & Solution
Correct Answer
(B) \(2^8\)
Step-by-step Solution
Detailed explanation
\(|A|=\frac{1}{\log x \cdot \log y \cdot \log z}\left|\begin{array}{lll}\log x & \log y & \log z \\ \log x & 2 \log y & \log z \\ \log x & \log y & 3 \log z\end{array}\right|=2\)…
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