The following are the course notes for ECE 712:

 

Lecture 1: Fundamental Concepts
Lecture 2: Eigenvalues and Eigenvectors
Lecture 3: The Singular Value Decomposition
Lecture 4:  Gaussian Elimination and Associated Numerical Issues

Lectures 5 & 6 : Aspects Relating to the Quadratic Form

Lecture 7 : Linear Least Squares Estimation

 

Lecture 8: The pseudo-inverse

 

Lecture 9: The QR decomposition

 

Lecture 10: Least-squares using the QR decomposition