# Introduction to Linear Algebra (Math 301)

*Boise State University, Dept. of Mathematics*

**Textbook : **Linear Algebra and its Applications, (Jeffrey Holt)

**Semesters Taught : **Sp11, Sp13, Fa14, Fa15, Fa16, Sp18, Fa19, Sp20, Fa20

# Topics

- Review of vector algebra
- Row-reduction and Gaussian Elimination
- Solving non-singular systems using Gaussian Elimination and LU decomposition
- Null spaces, under-determined systems
- Vector spaces
- Orthogonal vector spaces and projectors
- Linear Least squares
- Symmetric Eigenvalue Problem.