JEE Main 2023 · 25 Jan · Shift 1

JEE Main 2023 Mathematics question on Matrices and Determinants

Let x,y,z>1x, y, z > 1 and A=[1log⁡xylog⁡xzlog⁡yx2log⁡yzlog⁡zxlog⁡zy3]A = \begin{bmatrix} 1 & \log_x y & \log_x z \\ \log_y x & 2 & \log_y z \\ \log_z x & \log_z y & 3 \end{bmatrix}. Then ∣adj(adj A2)∣|\text{adj}(\text{adj } A^2)| is equal to
  1. A.
    484^8
  2. B.
    242^4
  3. C.
    282^8
  4. D.
    646^4
Show answer

Correct option: C

[JEE Main 2023 · 25 Jan · Shift 1]

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