JEE Main 2024 Mathematics question
Let and A be a 2 × 2 matrix such that AB⁻¹ = A⁻¹. If BCB⁻¹ = A and C⁴ + αC² + βI = O, then 2β − α is equal to :
Answer: (D)
Solution
From AB⁻¹ = A⁻¹ we get A² = B. From BCB⁻¹ = A, squaring gives BC²B⁻¹ = A² = B, so C² = B. The characteristic equation of B is |B −
See the full step-by-step solution
Create a free account to read the complete working, and practise questions like this in a timed test.
Create a free account