Let A EST (i.e., A is an nxn symmetric matrix), and let X and be...
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Let A EST (i.e., A is an nxn symmetric matrix), and let X₁ and ₂ be two of its eigenvalues, with corresponding eigenvectors v₁ and v₂, respectively. Assume λ₁ ‡ λ₂. Prove that v₁ and v₂ are orthogonal. Let A EST (i.e., A is an nxn symmetric matrix), and let X₁ and ₂ be two of its eigenvalues, with corresponding eigenvectors v₁ and v₂, respectively. Assume λ₁ ‡ λ₂. Prove that v₁ and v₂ are orthogonal.
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