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(8 pts) Suppose that M = Rnn has n distinct eigenvalues A1, A2,, An with the corresponding eigenvectors 1, 2, ., n. Prove that

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(8 pts) Suppose that M = Rnn has n distinct eigenvalues A1, A2,, An with the corresponding eigenvectors 1, 2, ., n. Prove that {et, et,,ent} with t 0 are linearly independent.

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