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Unformatted text preview: c Kendra Kilmer August 18, 2011 Section 2.2  Systems of Linear Equations (The GaussJordan Method) This method allows us to strategically solve systems of linear equations. We perform operations on an aug mented matrix that is formed by combining the coefficient matrix and the constant matrix as shown in the next example. Example 1: Find the intial augmented matrix for the system of equations below: a) 2 x 4 y = 10 y = 1 3 x b) x 1 2 x 2 = 10 x 3 + 5 8 x 2 = x 1 3 x 3 4 x 1 3 x 3 = x 2 The goal of the GaussJordan Elimination Method is to get the augmented matrix into Row Reduced Form . A matrix is in Row Reduced Form when: 1. Each row of the coefficient matrix consisting entirely of zeros lies below any other row having nonzero entries. 2. The first nonzero entry in each row is 1 (called a leading 1) 3. In any two successive (nonzero) rows, the leading 1 in the lower row lies to the right of the leading 1 in the upper row....
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This note was uploaded on 03/27/2012 for the course MATH 141 taught by Professor Jillzarestky during the Fall '08 term at Texas A&M.
 Fall '08
 JillZarestky
 Linear Equations, Equations, Systems Of Linear Equations

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