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Eigenvalues & Eigenvectorsmedium
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A 3×33 \times 33×3 symmetric matrix AAA has characteristic polynomial p(λ)=−(λ−1)2(λ−4)p(\lambda) = -(\lambda - 1)^2(\lambda - 4)p(λ)=−(λ−1)2(λ−4). For this matrix to be diagonalizable, what must be true?