Let | A |=6, where A is a 3 \times 3 matrix. If {| {\adj} ({\adj} ( A ^2 \cdot {\adj}(2 A)) ) |}=2^{ m } \cdot 3^{ n }, m , n \in N, then m + n is equal to \_\_\_\_ . [23 Jan 2026 Shift 1]

JEE Main 23 Jan 2026 Shift 1 Paper Solved Paper

Section: Mathematics

Question : 21 of 75

Marks: +1, -0

Let |A|=6, where A is a 3×3 matrix. If |adj(adj(A2⋅adj(2A)))|=2m⋅3n,m,n∈N, then m+n is equal to ____ .

[23 Jan 2026 Shift 1]

Go to Question:

Prev Question

Next Question