Let α, β be two non-zero real numbers and v₁, v₂ be two non-zero real vectors of size 3 × 1. Suppose that v₁ and v₂ satisfy v₁^T v₂ = 0, v₁^T v₁ = 1, and v₂^T v₂ = 1. Let A be the 3 × 3 matrix given by:
A = αv₁v₁^T + βv₂v₂^T
The eigenvalues of A are __________.