** E1 219-O Linear Algebra 3:0 (August 2021) **

**Course Instructor:** Chandra R Murthy, ECE

**Course description:** In this course, we will study the basics of linear algebra and matrix theory, with applications to engineering.
The focus will be two-fold: on the beautiful mathematical theory of matrices, and their use in solving engineering problems.

** Syllabus**

Fundamental ideas - vector spaces, matrices, determinant, rank, etc.; Norms, error analysis in linear systems; Eigenvalues and eigenvectors; Canonical, Symmetric and hermitian forms, matrix factorizations; Least-squares problems, generalized inverses; Miscellaneous topics/applications.

** Textbooks / References**

- Horn and Johnson, Matrix Analysis, Cambridge University Press
- David Lewis, Matrix Theory, Allied Publishers
- Golub and Van Loan, Matrix Computations, 3rd Ed., John Hopkins University Press
- Gilbert Strang, Linear Algebra and its Application, 3rd Ed., Harcourth Brace Janovich Pubs. See also: http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/

**Prerequisites: ** None

** Grading: **

- Homework assignments (four) 40%
- Mid-term exam 30%
- Final exam 30%.