Prove three eigenvectors from three distinct eigenvalues are linearly independent – math.stackexchange.com

Prove three eigenvectors from three distinct eigenvalues are linearly independent – math.stackexchange.com

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Here is the formal statement: Let $\lambda_1, \lambda_2, \lambda_3$ be distinct eigenvalues of $n\times n$ matrix $A$. Let $S=\{v_1, v_2, v_3\}$ where $Av_i = \lambda_i v_i$ for $1\leq i\leq 3$. ...

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