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

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