E0 298: Linear Algebra and Its Applications (3:1) - August 2025

Instructors

Vaibhav Katewa and Pavan Tallapragada
Robert Bosch Center for Cyber-Physical Systems (RBCCPS)
Emails: vkatewa(at)iisc(dot)ac(dot)in, pavant(at)iisc(dot)ac(dot)in

Class Timings

Tue-Thu, 10:00-11:30 AM. First class on 5 August, 2025.

Venue

B-308 (EE Depatment)

Office and TA Hours

To be decided.

Class Logistics

Registered students can join the Class group in Microsoft Teams using the code - rh63k7m. All the course correspondence will happen in this Teams group.

Teaching Assistants

1. Arnab Roy

2. Godwin Khalko

3. Himanshu Jain

4. Himanshu Ranjan

5. K Venu Reddy

6. Md Samsad Alam

7. Mehta Khushi Nirav

8. Saisuchith Mahajan

Course Overview and Syllabus

This is a graduate level course on Linear Algebra and Matrix Theory. As stated by Meyer in his textbook “Linear Algebra is a study of linear maps defined over vector spaces.” This course will cover theoretical topics and applied problems where the concepts of linear algebra can be used.

We will broadly cover the following topics:

1. System of Linear Equations

2. Vector Spaces and linear transformations

3. Inner Product Spaces and Norms

4. Orthogonality

5. Eigenvalues and Eigenvectors

6. Singular Value Decomposition

7. Positive definite matrices

Grading

1. Assignments: 10%

2. Quizzes (Two): 10%

3. Midterm Exams (Two): 40%

4. Final Exam: 40%

References

The course material is taken from the below reference books:

1. Matrix Analysis and Applied Linear Algebra (First Edition) by Carl D. Meyer, SIAM, 2000.

2. Linear Algebra Done Right (Fourth Edition) by Sheldon Axler, Springer, 2025. (e-Book Link)

3. Linear Algebra and Its Applications (Fourth Edition) by Gilbert Strang.