Systems of Differential Equations Diagonalization and Jordan Canonical Form

>> YOUR LINK HERE: ___ http://youtube.com/watch?v=SsCiQym5yQU

It is only possible to perfectly diagonalize certain systems of linear differential equations. For the more general cases, it is possible to block-diagonalize the system into what is known as Jordan Canonical Form. This video explores these various options and derives the fully general Jordan form. • Playlist: • Engineering Math: Differential Equati... • Course Website: http://faculty.washington.edu/sbrunto... • @eigensteve on Twitter • eigensteve.com • databookuw.com • This video was produced at the University of Washington • %%% CHAPTERS %%% • 0:00 A tale of two A matrices • 1:47 When it's possible to diagonalize a matrix with eigenvectors • 6:15 Computing eigenvectors and generalized eigenvectors • 20:03 Case of complex conjugate eigenvalues • 23:10 Case of repeated eigenvalues • 25:35 3x3 degenerate matrix • 29:37 Jordan canonical form for general matrix

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