Lecture 1 (Feb 2)

Introduction: Course overview

System of linear equations

Definition of linear equation, system of linear equations, solution, consistent/inconsistent

Matrix: coefficient matrix and augmented matrix

Elementary row operations:
1. (Replacement) Replace one equation by the sum of itself and a multiple of another equation;
2. (Scaling) Multiply an equation by a nonzero number;
3. (Intechange) Swap two equations.