Let A = [ a_ij ] = [ log₅ 128 log₄ 5 log₅ 8 log₄ 25 ]. If A_ij is… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 29 January, Shift 1Properties of Determinants

Let $A = \left[ a_{ij} \right] = \left[ \begin{array}{cc} \log_5 128 & \log_4 5 \\ \log_5 8 & \log_4 25 \end{array} \right]$ . If $A_{ij}$ is the cofactor of $a_{ij}$ , $C_{ij} = \sum_{k=1}^{2} a_{ik} A_{jk}$ , and $C = [C_{ij}]$ , then $8|C|$ is equal to:

A
$242$
B
$222$
C
$262$
D
$288$

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