This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
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....
View
Full Document
 Fall '08
 JillZarestky
 Linear Equations, Equations, Gaussian Elimination, Systems Of Linear Equations, augmented matrix, Kendra Kilmer, Row Reduced Form

Click to edit the document details