Introduction to Matrix Algebra is available as a MOOC now on Udemy. Of course, it is free! https://www.udemy.com/matrixalgebra/. You will have a lifetime access to 177 lectures, 14+ hours of high quality content, 10 textbook chapters complete with multiple choice questions and their complete solutions.

Learning Objectives are

- know vectors and their linear combinations and dot products
- know why we need matrix algebra and differentiate between various special matrices
- carry unary operations on matrices
- carry binary operations on matrices
- differentiate between inconsistent and consistent system of linear equations via finding rank of matrices
- differentiate between system of equations that have unique and infinite solutions
- use Gaussian elimination methods to find solution to a system of equations
- use LU decomposition to find solution to system of equations and know when to choose the method over Gaussain elimination
- use Gauss-Seidel method to solve a system of equations iteratively
- find quantitatively how adequate your solution is through the concept of condition numbers
- find eigenvectors and eigenvalues of a square matrix

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### Autar Kaw

Autar Kaw (http://autarkaw.com) is a Professor of Mechanical Engineering at the University of South Florida. He has been at USF since 1987, the same year in which he received his Ph. D. in Engineering Mechanics from Clemson University. He is a recipient of the 2012 U.S. Professor of the Year Award. With major funding from NSF, he is the principal and managing contributor in developing the multiple award-winning online open courseware for an undergraduate course in Numerical Methods. The OpenCourseWare (nm.MathForCollege.com) annually receives 1,000,000+ page views, 1,000,000+ views of the YouTube audiovisual lectures, and 150,000+ page views at the NumericalMethodsGuy blog. His current research interests include engineering education research methods, adaptive learning, open courseware, massive open online courses, flipped classrooms, and learning strategies. He has written four textbooks and 80 refereed technical papers, and his opinion editorials have appeared in the St. Petersburg Times and Tampa Tribune.
View all posts by Autar Kaw