Prove that if $\lambda$ and $\mu$ are different eigenvalues of $f$ and $v$ and $w$ are eigenvectors asociated with them respectively, then $v + w$ is not an eigenvector of $f$.
What could be the statement to prove it?
Thanks in advance.
2026-04-25 06:38:44.1777099124
Prove about eigenvectors and eigenvalues
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Hint: Eigenvectors of different eigenvalues are linearly independent.