Ononot — Let A be a matrix with distinct eigenvalues \lambda1 = 3 and

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Eigenvalues & Eigenvectorsmedium

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Let $A$ be a matrix with distinct eigenvalues $\lambda_1 = 3$ and $\lambda_2 = 7$ , with corresponding eigenvectors $v_1$ and $v_2$ . Which of the following is guaranteed to be an eigenvector of $A$ ?