Let $ x, y, z1 $ and $ A=\left[\begin{array}{ccc}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 [JEE Main 2023, 25 Jan (Shift 1)]

Question

Let $ x, y, z>1 $ and $ A=\left[\begin{array}{ccc}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 [JEE Main 2023, 25 Jan (Shift 1)]

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Let \( x, y, z>1 \) and \( A=\left[\begin{array}{ccc}1 & \log _{x} y & \log _{x} z \\ \log _{y} x & 2 &am…

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Let \( x, y, z&gt;1 \) and \( A=\left[\begin{array}{ccc}1 &amp; \log _{x} y &amp; \log _{x} z \\ \log _{y} x &amp; 2 &am…

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Let \( x, y, z>1 \) and \( A=\left[\begin{array}{ccc}1 & \log _{x} y & \log _{x} z \\ \log _{y} x & 2 &am…