Скачать с ютуб Eigenvalues and Eigenvectors в хорошем качестве

Eigenvalues and Eigenvectors

This video explores the eigenvalues and eigenvectors of a matrix "A". This is one of the most important concepts in linear algebra. The eigenvectors represent a change of coordinates in which the "A" matrix becomes diagonal, with entries given by the eigenvalues. This allows us to easily solve arbitrarily complex linear systems of differential equations. 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 Overview and Eigenvalue Equation 3:15 Eigenvalues and Eigenvectors are "Special" 6:00 Example 2x2 Matrix 14:55 Computing Eigenvalues and Eigenvectors for any Matrix 21:18 The Determinant Measures Area of a Transformation 25:50 Determinant of 3x3 Matrix 28:35 Revisit 2x2 Matrix Example