Linear Algebra Basics

This lecture introduces the basics of linear algebra, focusing on solving linear equations and understanding the concept of systems of linear equations. The instructor explains how to represent and solve equations graphically, emphasizing the importance of understanding the geometric interpretation of solutions. The lecture covers examples with two and three variables, illustrating how equations define lines and planes in space. The concept of equivalent systems of equations is also discussed, highlighting the idea that different equations can lead to the same solution set.