Eigenvalues & Eigenvectorshard
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Let A=(1224)A = \begin{pmatrix} 1 & 2 \\ 2 & 4 \end{pmatrix} be a symmetric matrix. Its eigenvectors for distinct eigenvalues λ1\lambda_1 and λ2\lambda_2 are v1v_1 and v2v_2. What is the relationship between v1v_1 and v2v_2?