## Linear Algebra 2019 Spring

The material on this webspage accompanies the course MATH2418.006 at The University of Texas at Dallas.#### Instructor: Dr. Yi Zhang

### Syllabus: [pdf]

### Textbook:

- Gilbert Strang, Introduction to Linear Algebra, Fifth Edition, Wellesley-Cambridge Press, 2017. ISBN: 978-09802327-7-6.
- Howard Anton, Elementary Linear Algebra, Wiley 11th Edition, 2013. ISBN: 978-1-118-47350-4.

### Lecture Notes and Homework:

**Introduction to Vectors**

**Solving Linear Equations**

**Vectors and Linear Equations [pdf]****The Idea of Elimination [pdf]****Elimination Using Matrices [pdf]****Rules for Matrix Operations[pdf]****Inverse Matrices [pdf]****Elimination = Factorization: A = LU [pdf]****Transposes and Permutations [pdf]**

**Homework 3 [pdf] and Solutions [pdf]****Homework 4 [pdf] and Solutions [pdf]****Homework 5 [pdf] and Solutions [pdf]**

**Vector Spaces and Subspaces**

**Orthogonality**

**Determinants**

**Eigenvalues and Eigenvectors**

**The Singular Value Decomposition (SVD)**