In this lecture we introduce the fundamental matrix, see how it connects to matrix exponentials and how to use this to find solutions. We also look at what happens in the 2x2 case for repeated eigenvectors giving an alternative to what was done in the previous lecture.

More information: [ Ссылка ]
Presenter: [ Ссылка ]

0:00 Introduction to idea of matrix exponentials
4:49 Fundamental matrices; exponential matrix
14:39 Example (fundamental matrix)
27:08 Computing matrix exponential as series
29:44 Example (exponential of diagonal matrix)
35:15 Making matrices look diagonal
38:19 Computing matrix exponentials
42:32 Repeated eigenvalue case
45:43 Example (exponential matrix; repeated)
48:17 Example (repeated eigenvalues)

свернуть