ESE 2023Q52
Q: If X₁ = [1 1]ᵀ, X₂ = [1 0]ᵀ, and X₃ = [0 1]ᵀ are the eigenvectors of the matrix A = [2 1 −1; 3 2 −3; 3 1 −2], then A⁵ =
(a)[32 31 −31; 33 32 −33; 33 31 −32]
(b)[32 31 −33; 33 32 −31; 33 31 −32]
(c)[32 31 −32; 33 32 −33; 33 31 −31]
(d)[32 33 −31; 33 32 −33; 33 31 32]
Correct Answer: (a)
Detailed explanation coming soon.