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Eigenvalues & Eigenvectorsmedium
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A 4×44 \times 44×4 matrix AAA has characteristic polynomial p(λ)=(λ−2)2(λ+1)(λ−5)p(\lambda) = (\lambda - 2)^2(\lambda + 1)(\lambda - 5)p(λ)=(λ−2)2(λ+1)(λ−5). The eigenvalue λ=2\lambda = 2λ=2 has geometric multiplicity 1. Which statement must be true?