Question: Let 1, 2,....., k be distinct eigenvalues of an n ( n matrix A with associated eigenvectors x1, x2 ..... xk. Prove that x1, x2,

Let λ1, λ2,....., λk be distinct eigenvalues of an n ( n matrix A with associated eigenvectors x1, x2 ..... xk. Prove that x1, x2, ..... , xk are linearly independent?

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