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Eigenvalues & Eigenvectorsmedium
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A matrix AAA has eigenvalue λ=4\lambda=4λ=4 with algebraic multiplicity 333. If the rank of (A−4I)(A-4I)(A−4I) is 111, what is the geometric multiplicity of λ=4\lambda=4λ=4 for a 3×33 \times 33×3 matrix?