Linear Algebra Basics

This lecture introduces the basics of linear algebra, focusing on systems of linear equations and their solutions. The instructor explains how to manipulate equations to triangular form, emphasizing the importance of operations such as adding multiples of equations and row swapping. The lecture covers the concept of augmented matrices and demonstrates how to apply operations systematically to solve systems efficiently. Through examples and step-by-step explanations, students learn how to identify and work with triangular systems, preparing them for more complex linear algebra concepts.