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 v_{1}^{T}v_{2} = 0,v_{1}^{T}v_{1} = 1, and v_{2}^{T}v_{2} = 1. Let A be the 3 × 3 matrix given by:A = α v_{1}v_{1}^{T} + β v_{2}v_{2}^{T}The eigenvalues of A are _______

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