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Unformatted text preview: Section 2.2 Solving Systems of Linear Equation I 1 Section 2.2  Solving Systems of Linear Equations I As you may recall from College Algebra, you can solve a system of linear equations in two variables easily by applying the substitution or addition method. Since these methods become tedious when solving a large system of equations, a suitable technique for solving such systems of linear equations of any size is the GaussJordan elimination method . This method involves a sequence of operations on a system of linear equations to obtain at each stage an equivalent system. The GaussJordan elimination method is complete when the original system has been transformed so that it is in a certain standard form from which the solution can be easily read. Augmented Matrices Matrices are rectangular arrays of numbers. We will use these to solve systems of equation in 2 or more variables. Example: Given 2 2 27 5 8 3 22 6 4 2 = + + = + + = + + z y x z y x z y x . The coefficient matrix is:  2 1 1 5 8 3 6 4 2 . The augmented matrix is:  2 27 22    2 1 1 5 8 3 6 4 2 Section 2.2 Solving Systems of Linear Equation I 2 Example: The augmented matrix is:  8 2 6 1 1 5 5 4 1 2 . Write down the system....
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This note was uploaded on 02/21/2012 for the course MATH 1313 taught by Professor Constante during the Spring '08 term at University of Houston.
 Spring '08
 CONSTANTE
 Math, Linear Equations, Addition, Equations, Systems Of Linear Equations

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