The ECE133A course material for Fall Quarter 2025 is available from the Bruin Learn course website.

Textbook

• Textbook: Introduction to Applied Linear Algebra. Vectors, Matrices, and Least Squares, by S. Boyd and L. Vandenberghe. The pdf of the textbook is available on the book website.

• Additional notes: ECE133A Lecture Notes. Additional notes on topics not covered in the textbook.

• Additional exercises. Data files for the additional exercises can be found in the data file directory.

Lecture slides

• Introduction
  

• 1. Vectors

• 2. Norm, distance, angle

• 3. Matrices

• 4. Matrix inverses

• 5. Orthogonal matrices

• 6. QR factorization

• 7. Linear equations

• 8. Least squares

• 9. Least squares data fitting

• 10. Multi-objective least squares

• 11. Constrained least squares

• 12. Cholesky factorization

• 13. Nonlinear least squares

• 14. Nonlinear equations

• 15. Problem condition

• 16. Algorithm stability

• 17. IEEE floating point numbers

Additional lecture slides (Fall 2021)

• 18. Constrained nonlinear least squares