Mathematics · Linear Algebra
Let α and 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 v1Tv2 = 0, v1Tv1 = 1, and v2Tv2 = 1. Let A be the 3 × 3 matrix given by A = α v1v1T + βv2v2T. The eigenvalues of A are:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 10, 0, √(α2 + β2)
- 20, (α + β)/2, √(αβ)
- 30, α + β, α - β
- 40, α, β✓
Correct answer
0, α, β
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