This course covers the concepts of eigenvalues and eigenvectors of a matrix, which are crucial in linear algebra. The course teaches how eigenvectors represent a change of coordinates making the matrix diagonal with entries as eigenvalues, facilitating the solution of complex linear systems of differential equations. The teaching method involves video lectures exploring various examples and computations. This course is intended for individuals interested in deepening their understanding of linear algebra concepts and their applications in solving differential equations.
Overview
Syllabus
Overview and Eigenvalue Equation
Eigenvalues and Eigenvectors are "Special"
Example 2x2 Matrix
Computing Eigenvalues and Eigenvectors for *any* Matrix
The Determinant Measures Area of a Transformation
Determinant of 3x3 Matrix
Revisit 2x2 Matrix Example
Taught by
Steve Brunton
