MCQMediumJEE Main 2025 · 3 April, Shift 1Inverse & Adjoint of a Matrix

Mathematics Question from JEE Main 2025 · 3 April, Shift 1

Let AA be a matrix of order 3×33 \times 3 and ∣A∣=5|A| = 5. If ∣2 adj(3A adj(2A))∣=2α⋅3β⋅5γ,α,β,γ∈N|2 \, \text{adj}(3A \, \text{adj}(2A))| = 2^{\alpha} \cdot 3^{\beta} \cdot 5^{\gamma}, \alpha, \beta, \gamma \in \mathbb{N} then α+β+γ\alpha + \beta + \gamma is equal to

  • A

    2525

  • B

    2626

  • C

    2727

  • D

    2828

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