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Eigenvalues & Eigenvectorshard
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Let AAA be an n×nn \times nn×n matrix with characteristic polynomial p(λ)=det⁡(λI−A)=λn+cn−1λn−1+⋯+c1λ+c0p(\lambda) = \det(\lambda I - A) = \lambda^n + c_{n-1}\lambda^{n-1} + \dots + c_1\lambda + c_0p(λ)=det(λI−A)=λn+cn−1​λn−1+⋯+c1​λ+c0​. Which of the following is true?