Ononot — Let A be a 3 \times 3 matrix with eigenvalues \lambda1, \lam

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Eigenvalues & Eigenvectorsmedium

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Let $A$ be a $3 \times 3$ matrix with eigenvalues $\lambda_1, \lambda_2, \lambda_3$ . Let $p(\lambda) = \det(\lambda I - A)$ be the characteristic polynomial of $A$ . What is the value of the derivative $p'(0)$ ?