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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- Holistic Numerical Methods: Numerical Methods for the STEM undergraduate athttp://nm.MathForCollege.com
- Introduction to Matrix Algebra for the STEM undergraduate at http://ma.MathForCollege.com
- the textbook on Numerical Methods with Applications available from the lulu storefront,
- the textbook on Introduction to Programming Concepts Using MATLAB, and
- the Massive Open Online Course (MOOC) available at https://canvas.instructure.com/enroll/KYGTJR