Eigenvectors and linear independence

Описание к видео 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  

Комментарии

Информация по комментариям в разработке

Похожие видео