##### Primary Goal

Solve a system of linear equations algebraically in parametric form.

Solve a system of linear equations algebraically in parametric form.

This chapter is devoted to the algebraic study of systems of linear equations and their solutions. We will learn a systematic way of solving equations of the form

In Section 1.1, we will introduce *systems of linear equations*, the class of equations whose study forms the subject of linear algebra. In Section 1.2, will present a procedure, called *row reduction*, for finding all solutions of a system of linear equations. In Section 1.3, you will see hnow to express all solutions of a system of linear equations in a unique way using the *parametric form* of the general solution.