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)