JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumMatrices and Determinants245× since 2002Let AAA be a matrix of order 3×33\times33×3 with ∣A∣=5\lvert A\rvert=5∣A∣=5. If ∣2 adj(3A adj(2A))∣=2α3β5γ\bigl\lvert 2\,\mathrm{adj}\bigl(3A\,\mathrm{adj}(2A)\bigr)\bigr\rvert=2^{\alpha}3^{\beta}5^{\gamma}2adj(3Aadj(2A))=2α3β5γ, where α,β,γ∈N\alpha,\beta,\gamma\in\mathbb{N}α,β,γ∈N, then α+β+γ\alpha+\beta+\gammaα+β+γ is equal to:AOption A. 25BOption B. 26COption C. 27DOption D. 28CheckSkip · show solution
