Matrix Theory and Applications

NPTEL / SWAYAM · July 2026

A full-length course on linear algebra for engineers, starting from the basics and building up to matrix decompositions (QR, EVD, SVD) and their applications in data science, AI, and signal processing. Full syllabus and enrollment are on the course page on NPTEL / SWAYAM →

Lecture notes

These notes reflect how the lectures were planned and delivered, and as such are a companion to the course rather than a substitute for a textbook.

Chapter Topic Weeks Notes
1 Vectors, inner products and linear functions 1–2 PDF

Notes for later chapters will be added as the course progresses.