Have you ever found math intimidating or disconnected from reality?

Join my master class to change that perspective.

Welcome to this free Masterclass on Linear Algebra and its Applications—a session designed not just to teach you the how of mathematics, but more importantly, the why.

This class is perfect for undergraduate students (especially those pursuing B.Sc., B.Tech., or related fields), competitive exam aspirants, and lifelong learners who are curious about how mathematics powers the world around us. If you've ever wondered how abstract mathematical ideas translate into real-world innovation, this class is for you.

We will begin by covering key topics in Linear Algebra such as vector spaces, matrices, linear transformations, systems of equations, and eigenvalues/eigenvectors. These will form the foundation for the second half of the class, where we’ll dive deep into real-world applications that make Linear Algebra one of the most important branches of mathematics.

One of the highlight applications we’ll explore in detail is cryptography. You’ll learn how secure communication, encryption algorithms, and even cybersecurity protocols rely on Linear Algebra—particularly matrix operations and modular arithmetic—to protect sensitive data in the digital world. We’ll look at how cryptographic systems are built using mathematical structures, and I’ll walk you through real examples, including matrix-based encryption techniques and how they resist or fail under specific types of attacks.

Other applications we’ll touch on include:

• Computer Graphics: How 3D modeling and animations rely on matrix transformations

• Machine Learning: How algorithms like PCA (Principal Component Analysis) use eigenvectors to reduce data dimensions

• Network Analysis: Using adjacency matrices to study connectivity in social and communication networks

• Quantum Computing: How vector spaces and linear operators are foundational in quantum state representation

The goal is to bridge the gap between theory and practice, showing you how even the most abstract ideas in Linear Algebra are used every day in technology, science, and engineering.

What do you need to bring?
Just a notebook, a pen, and your curiosity. A basic understanding of algebra is helpful, but no advanced preparation is necessary. This session is designed to be engaging, beginner-friendly, and packed with insights that will stay with you long after the class ends.