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.