3 Linear Systems and Matrices
3.1 Introduction to Linear Systems
The subject of linear algebra centers around the problem of solving systems of (algebraic) linear equations. In high school algebra the method of elimination is used to solve systems of two and three (simultaneous) linear equations, with attention ordinarily confined to systems that have one and only one solution, and with applications to “word problems” that have one and only one “answer.” In this section we introduce some of the basic terminology of linear algebra by reviewing the elementary technique of elimination from a slightly more general viewpoint. In subsequent sections we apply this same technique to the solution of systems involving many linear equations in many unknowns. ...
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