EEE126 Linear Algebra
2024-2025 Spring
Weekly schedule
Week | Part | Topic | Problem Session (PS) |
---|---|---|---|
1 | vectors | introduction, vectors (fundamentals), linear functions, norm and distance, clustering | no PS |
2 | vectors, matrices | linear independence, matrices (fundamentals), matrix examples | 08:30 - 09:30 |
3 | matrices | linear equations, dynamical systems, matrix multiplication | no PS |
4 | matrices, least squares | matrix inverses, least squares (LS) | 08:30 - 09:30 |
5 | least squares | LS data fitting, LS classification, multi-objective LS | no PS |
6 | exercises and applications with numerical computing (midterm) | no PS | |
7 | review and preparation for the exam (midterm) | no PS | |
8 | midterm exam | ||
9 | abstract linear algebra | range and null space, rank, orthogonality | no PS |
10 | abstract linear algebra | eigenvalues, eigenvectors, and diagonalization, symmetric matrices and quadratic forms | 08:30 - 09:30 |
11 | abstract linear algebra | singular value decomposition | no PS |
12 | advanced least squares | constrained LS with applications, nonlinear LS, constrained nonlinear LS | 08:30 - 09:30 |
13 | engineering applications | introduction to optimization, machine learning, estimation and control | no PS |
14 | exercises and applications with numerical computing (final) | no PS | |
15 | review and preparation for the exam (final) | no PS |
Resources
Textbooks
main textbook for the course: Introduction to Applied Linear Algebra – Vectors, Matrices, and Least Squares (Boyd&Vandenberghe)
Linear Algebra for Everyone (Strang)
Introduction to Linear Algebra, 6th ed. (Strang)
Introduction to Linear Algebra, 5th ed. (Strang)
Matrix Analysis and Applied Linear Algebra (Meyer)
Linear Algebra Done Right (Axler)
Linear Algebra Done Wrong (Treil)
Exercises/solutions collections
Exercises and Problems in Linear Algebra (Erdman)
Linear Algebra for Everyone, Solutions (Strang)
Introduction to Linear Algebra, 6th ed., Solutions (Strang)
Introduction to Linear Algebra, 5th ed., Solutions (Strang)
Leave a Comment