When Can You Diagonalize a Matrix? 🤔
Learn the conditions for diagonalizing matrices, including examples of non-diagonalizable ones and special cases that always diagonalize.
Mark Ancliff
5.8K views • May 28, 2015
About this video
Here I show an example of a matrix which is not possible to diagonalize, but also show that the special matrices we defined in video 8(e) can always be diagonalized.
-- Example of a matrix which cannot be diagonalized (0:00)
-- Definition of scalar product for complex vectors (3:54)
-- Theorem on the Eigenvectors and Eigenvalues of Special matrices (6:18)
-- Example (2x2 rotation matrix) (10:58)
-- Example of a matrix which cannot be diagonalized (0:00)
-- Definition of scalar product for complex vectors (3:54)
-- Theorem on the Eigenvectors and Eigenvalues of Special matrices (6:18)
-- Example (2x2 rotation matrix) (10:58)
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Video Information
Views
5.8K
Likes
46
Duration
12:18
Published
May 28, 2015
User Reviews
4.2
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