Chapter 2 - Systems of Linear Equations

# Chapter 2 - Systems of Linear Equations - Chapter 2 Systems...

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Chapter 2 – Systems of Linear Equations Section 2.1 – Introduction to Systems of Linear Equations Pg 59, Definition – A linear equation in the n variables is an equation that can be written in the form where the coefficients and the constant term b are constants. Pg 61, A system of linear equations with real coefficients has either (a) a unique solution (a consistent system) or (b) infinitely many solutions (a consistent system) or (c) no solutions (an inconsistent system). Pg 61, Two linear systems are called equivalent if they have the same solution sets. Section 2.2 – Direct Methods for Solving Linear Systems Pg 68, The coefficient matrix contains the coefficients of the variables, and the augmented matrix has an extra column containing the constant terms. Pg 68, Definition – A matrix is in row echelon form if it satisfies the following properties: 1. Any rows consisting entirely of zeros are at the bottom. 2.

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## This note was uploaded on 11/10/2011 for the course MATH 511 taught by Professor Staff during the Spring '08 term at Washington State University .

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Chapter 2 - Systems of Linear Equations - Chapter 2 Systems...

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