In the links below are my lecture notes on advanced linear and matrix algebra. This course material follows on the lecture notes on introductory linear algebra.
The notes are created as MATLAB live script documents and the original mlx files can be requested by my students. The links below open as PDF files for easy reading. If you have your own copy of MATLAB, you can easily copy the code for your own experimentation.
The course material starts with an introduction to complex numbers and complex vectors and matrices. These are essential concepts in advanced linear algebra. The notes contain proofs that are essential to understanding the material.
As a student at The George Washington University you can get a free copy of MATLAB. Follow THIS link.