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: The Quadratic Form
Lectures 5 & 6 : Gaussian Elimination
Lecture 7 : Linear Least Squares Estimation

Lecture 8: The pseudo-inverse

Lecture 9: The QR decomposition

Lecture 10: Least-squares using the QR decomposition