Linear Algebra Bootcamp

Welcome to the Linear Algebra Bootcamp! 🚀

This chapter is your high-speed training ground for the essential concepts of linear algebra that power everything from data science to quantum mechanics. We’ll start with a rapid tour of the fundamentals—vector spaces, norms, and dot products—before diving into the core of the action.

You’ll get reacquainted with matrices and the powerful stories they tell through their four fundamental subspaces. Then, we’ll unlock the secrets of a matrix’s “DNA” with two of the most important tools in mathematics: the Eigendecomposition, which explains how systems evolve, and the Singular Value Decomposition (SVD), which reveals the pure geometry of transformations.

Whether you need a quick refresher or are building your foundation from scratch, this bootcamp will get you geared up for the exciting world of numerical linear algebra. Let’s get started!