Systems of Linear Equations

We will motivate our study of linear algebra by studying solutions to systems of linear equations. While the focus of this chapter is on the practical matter of how to find, and describe, these solutions, we will also be setting ourselves up for more theoretical ideas that will appear later.

What is Linear Algebra?

Solving Systems of Linear Equations

Reduced Row-Echelon Form

Types of Solution Sets

Homogeneous Systems of Equations

Nonsingular Matrices