Let $x, y, z1$ 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 [JEE Main 2023, 25 Jan (Shift 1)]

Question

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 [JEE Main 2023, 25 Jan (Shift 1)]

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Let \(x, y, z>1\) and \(A=\left[\begin{array}{lll}1 & \log _x y & \log _x z \\\log _y x & 2 & \log _y…

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

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Let \(x, y, z>1\) and \(A=\left[\begin{array}{lll}1 & \log _x y & \log _x z \\\log _y x & 2 & \log _y…