JEE Main 2025 Mathematics question

MathematicsMatricesJEE Main 2025

Let A be a 3 × 3 real matrix such that , where I and O are the identity and null matrices, respectively. If , where , and are real constants, then is equal to :

Answer: (3)

Solution

Using the Cayley-Hamilton-like relation repeatedly, , giving .

Question ID VK-002436