CS 233403 Linear Algebra

Objective: The goals of this course is to teach students how to use matrices to solve some mathematical problems.

Course outline: 

1. Solving Ax = b for square systems by elimination. 
2. Complete solution to Ax = b  
3. Basis and dimension  
4. Least squares solutions  
5. Orthogonalization by Gram-Schmidt 
6. Properties of determinants 
7. Eigenvalues and eigenvectors 
8. Symmetric matrices and positive definite matrices 
9. Linear transformations and change of basis 
10. Linear algebra in engineering (including graphs and networks, Markov matrices, Fourier matrix, Fast Fourier Transform, linear programming) 




Textbook:  S. J. Leon, Linear Algebra with Applications, 6th Edition, Prentice Hall, 2002.


Reference book: G. Strang, Introduction to Linear Algebra, 2nd Edition, Wellesley-Cambridge Press.