JEE Main 2024 Mathematics question
Let , B = [B₁, B₂, B₃], where B₁, B₂, B₃ are column matrices and , , . If α = |B| and β is the sum of all the diagonal elements of B, then α³ + β³ is equal to .
Answer: 28
Solution
|A| = 1 and A⁻¹ = adj(A) = [[1, 0, −1], [−1, 1, 1], [−1, 0, 2]]. Then B₁ = A⁻¹(1, 0, 0)ᵀ = (1, −1, −1)ᵀ, B₂ = (2, 1, −2)ᵀ, B₃ =
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