Definition of the eigenspace corresponding to an eigenvector $\lambda$ (and proof that this is a vector space); analysis of simple matrices in R^2 and R^3 to visualize the "geometry" of eigenspaces; proof that eigenvectors corresponding to distinct eigenvectors are linearly independent
- Created On
- August 25th, 2017
- 7 years ago
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- 2
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- Video
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- English
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The previous section introduced eigenvalues and eigenvectors, and concentrated on their existence and determination. This section will be more about theorems, and the various properties eigenvalues and eigenvectors enjoy. Like a good 4×100 meter relay, we will lead-off with one of our better theorems and save the very best for the anchor leg.
- License
- GFDL-1.2
- Submitted At
- September 11th, 2017
- 7 years ago
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- 3
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- Textbook
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- English
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- text/html