Question: Show that if u0 and u1 are eigenvectors with the same eigenvalue 0 D 1, then u D u0 C u1 is also an eigenvector

Show that if u0 and u1 are eigenvectors with the same eigenvalue 0 D 1, then u D u0 C u1 is also an eigenvector with this eigenvalue, where ; are arbitrary scalars

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