E0 298: Linear Algebra and Its Applications (3:1) - August 2026

Instructor

Vaibhav Katewa
Department of Cyber-Physical Systems
Email: vkatewa(at)iisc(dot)ac(dot)in

Class Timings

Tue-Thu, 10:00-11:30 AM. First class on 4 August, 2026.

Venue

B-308 (EE Depatment)

Office and TA Hours

Friday, 10-11 am in Room 321, 3rd Floor, TSH Building

Class Logistics

Registered students can join the Class group in Microsoft Teams using the code - ri09zl8. All the course correspondence will happen in this Teams group.

Teaching Assistants

1. Dwaraganathan R. R

2. Eluru Sai Venkat

3. R Srimathi

4. Sai Anoop Gudipudi

5. Sadineni Nikhil Chowdary

Course Overview and Syllabus

This is a graduate level course on Linear Algebra and Matrix Theory. It will focus on Vector Spaces and Linear Maps. 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. Vector Spaces and Linear Transformations

2. Inner Product Spaces and Norms

3. Orthogonality

4. Eigenvalues and Eigenvectors

5. Singular Value Decomposition

6. Positive Definite Matrices

Grading

1. Assignments: 10%

2. Quizzes (Best 4 out of 5): 10%

3. Midterm Exams (Two): 40%

4. Final Exam: 40%

References

The course material is taken from the below reference books:

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

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

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