Question: Suppose v1, ..., vn forms an eigenvector basis for the complete matrix A, with 1, ..., n the corresponding eigenvalues. Prove that every eigenvalue of

Suppose v1, ..., vn forms an eigenvector basis for the complete matrix A, with λ1, ..., λn the corresponding eigenvalues. Prove that every eigenvalue of A is one of the λ1, ..., λn.

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