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Eigenvalues & Eigenvectorshard
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Let AAA be a 3×33 \times 33×3 matrix with characteristic polynomial p(λ)=(λ−2)2(λ−3)p(\lambda) = (\lambda - 2)^2(\lambda - 3)p(λ)=(λ−2)2(λ−3). If the geometric multiplicity of λ=2\lambda = 2λ=2 is 1, what can we conclude about AAA?