Introduction to Systems of Linear Equations

In this first lecture of Elementary Linear Algebra, we introduce systems of linear equations in n variables. We’ll look at the general form of a system, what it means to be a solution, and how these systems appear in real-world applications. Topics covered: • General form of a linear system with n variables • What it means for (x₁, x₂, ..., xₙ) to be a solution • Consistent vs. inconsistent systems • Geometric interpretation in 2D and 3D • Why linear algebra matters This is Lecture 1 of the Elementary Linear Algebra series. Playlist: https://bit.ly/4qtJZ6r #LinearAlgebra #SystemsOfEquations #MathLecture