Let A be a matrix of order 3 × 3 and |A| = 5. If |2 adj(3A adj(2A… | JEE Main 2025 Mathematics PYQ

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

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

A
$25$
B
$26$
C
$27$
D
$28$

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