JEE Main 2025January, Unspecified (session-level dataset)MathematicsMediumMatrices and Determinants245× since 2002Let A=[aij]=[log5128log45log58log425]\mathbf{A}=\left[a_{ij}\right]=\left[\begin{array}{cc} \log_5 128 & \log_4 5 \\ \log_5 8 & \log_4 25 \end{array}\right]A=[aij]=[log5128log58log45log425]. If Aij\mathbf{A}_{ij}Aij is the cofactor of aij\mathbf{a}_{ij}aij, Cij=∑k=12aikAjk,1≤i,j≤2\mathbf{C}_{ij}=\sum_{k=1}^2 \mathbf{a}_{ik} \mathbf{A}_{jk}, 1 \leq i, j \leq 2Cij=∑k=12aikAjk,1≤i,j≤2, and C=[Cij]\mathbf{C}=\left[\mathbf{C}_{ij}\right]C=[Cij], then 8∣C∣8|\mathbf{C}|8∣C∣ is equal to:AOption A. 288BOption B. 222COption C. 242DOption D. 262CheckSkip · show solution
