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Matrices and Determinants question

2025 · 3 Apr · Shift 1 · Q45

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JEE Main
Mathematics
Matrices and Determinants
2025 · 3 Apr · Shift 1 · Q45

Matrices and Determinants question

2025 · 3 Apr · Shift 1 · Q45

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

Let

A

be a matrix of order

3 \times 3

and

|A|=5

. If

|2 \operatorname{adj}(3 A \operatorname{adj}(2 A))|=2^\alpha \cdot 3^\beta \cdot 5^\gamma, \alpha, \beta, \gamma \in N

, then

\alpha+\beta+\gamma

is equal to

A
26
B
27
C
25
D
28

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