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Matrices and Determinants question

2025 · 29 Jan · Shift 1 · Q28

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JEE Main
Mathematics
Matrices and Determinants
2025 · 29 Jan · Shift 1 · Q28

Matrices and Determinants question

2025 · 29 Jan · Shift 1 · Q28

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

Let

A = \begin{bmatrix} a_{ij} \end{bmatrix} = \begin{bmatrix} \log_5 128 & \log_4 5 \\ \log_5 8 & \log_4 25 \end{bmatrix}

. If

A_{ij}

is the cofactor of

a_{ij}

,

C_{ij} = \sum\limits_{k=1}^{2} a_{ik} A_{jk} , 1 \leq i, j \leq 2

, and

C=[C_{ij}]

, then

8|C|

is equal to :

A
288
B
262
C
222
D
242

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