Let A be a matrix of order 3 \times 3 and |A|=5. If |2 {\adj}(3 A {\adj}(2 A))|=2^\alpha \cdot 3^\beta \cdot 5^\gamma, \alpha, \beta, \gamma \in \mathbb{N}, then \alpha+\beta+\gamma is equal to [3 Apr 2025 Shift 1]

JEE Main 3 Apr 2025 Shift 1 Paper

Section: Mathematics

Question : 6 of 75

Marks: +1, -0

Let A be a matrix of order 3×3 and |A|=5. If |2‌adj(3A‌adj(2A))|=2α⋅3β⋅5γ,α,β,γ∈ℕ, then α+β+γ is equal to

[3 Apr 2025 Shift 1]

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