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

1. Horn and Johnson, Matrix Analysis, Cambridge University Press
2. David Lewis, Matrix Theory, Allied Publishers
3. Golub and Van Loan, Matrix Computations, 3rd Ed., John Hopkins University Press
4. 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%.