Matrix A+A^T=O Determinant (Jee Mains) | ExamDuo
Ask Doubts
Log in
Determinants
Medium
Matrix A+A^T=O Determinant
Let A be a 3 × 3 matrix such that A + A
T
= O. If
and det(adj(2adj (A + I))) = (2)
α
.(3)
β
.(11)
γ
, α, β, γ are non-negative integers, then α + β + γ is equal to ______.
Check
Ask about this question
![A\left[ {\begin{array}{*{20}{c}} 1\\[0.9em] { - 1}\\[0.9em] 0 \end{array}} \right] = \left[ {\begin{array}{*{20}{c}} 3\\[0.9em] 3\\[0.9em] 2 \end{array}} \right],{A^2}\left[ {\begin{array}{*{20}{c}} 1\\[0.9em] { - 1}\\[0.9em] 0 \end{array}} \right] = \left[ {\begin{array}{*{20}{c}} { - 3}\\[0.9em] {19}\\[0.9em] { - 24} \end{array}} \right]](https://cdn.examduo.ai/jee/43413230f56aa3cb.webp)
and det(adj(2adj (A + I))) = (2)α.(3)β.(11)γ, α, β, γ are non-negative integers, then α + β + γ is equal to ______.