JEE Main 2025 Mathematics question

MathematicsMatricesJEE Main 2025

Let A =

If det(adj(adj(3A))) = , m, n N, then m + n is equal to

Answer: (4)

Solution

Simplifying the determinant gives |A| = 8. |adj(adj(3A))| = |3A|^4 = ยท. So m+n = 24.

Question ID VK-002797