Eigenvectors and linear independence
Eigenvectors corresponding to different eigenvalues are linearly independent In this video, I prove one of my favorite linear algebra facts: Nonzero eigenvectors of a matrix corresponding to different eigenvalues are automatically linearly independent. This fact is crucial for diagonalization, because it allows us to construct bases consisting of eigenvectors. Enjoy! Check out my Diagonalization playlist: • Diagonalization Subscribe to my channel: / drpeyam
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