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Math Help - Prove L.I (Tricky)

  1. #1
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    Prove L.I (Tricky)

    The vectors v_1,v_2,....v_k in the vector space R^nare eigenvectors for the mateix A. Corresponding to the eigenvalues \lambda_1,\lambda_2,...\lambda_k(not necessary distinct). If these vectors are linearly independent and \lambda_{k+1} is distinct from all of the other \lambda 's, prove that {v_1,v_2,....v_k, v_{k+1}} is inearly indeoendent for any eigenvector v_{k+1} corresponding to \lambda_{k+1}.
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  2. #2
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    See here.
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