This course introduces the central ideas of matrix theory and linear algebra. It emphasizes topics useful in other disciplines such as systems of equations, vector spaces, determinants, eigenvalues, similarity, and positive definite matrices. Applications to least-squares approximations, stability of differential equations, networks, Fourier transforms, and Markov processes.
This course is sophomore-junior level. The course website includes homework problems, projects, downloadable files, lab materials, lecture slides, course outline/syllabus, recommended books, and video lectures.
Professor Name: Gilbert Strang
University: Massachusetts Institute of Technology
Textbooks: Strang, G. Introduction to Linear Algebra, 3rd edition.
Wellesley-Cambridge Press, 2003