MATH M118 Lecture Notes - Lecture 10: Salmon
Document Summary
Where are we going: we now take a short break from solving finite application problems to discuss the various operations and methods of linear algebra. Linear algebra involves solving systems of equations and performing operations on matrices. The techniques we learn in this chapter will be used to solve linear programming problems in chapter 7 and application problems (called markov chains) in chapter 9. Systems of linear equations in two variables. Section 6. 1 discusses various methods for solving a system of linear equations with two variables. The branch of mathematics that focuses on solving systems of linear equations is known as linear algebra. There are over a dozen methods that can be used in linear algebra to solve systems of equations. Section 6. 1 reviews the three methods typically used in a first semester college algebra course: For example, let"s say (cid:449)e ha(cid:448)e the follo(cid:449)i(cid:374)g t(cid:449)o e(cid:395)uatio(cid:374)s: 2x y = 1 and x + y = 8.