1313_section2o2_after

1313_section2o2_after - Section 2.2 Solving Systems of...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

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 Gauss-Jordan elimination method . This method involves a sequence of operations on a system of linear equations to obtain at each stage an equivalent system. The Gauss-Jordan 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....
View Full Document

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.

Page1 / 13

1313_section2o2_after - Section 2.2 Solving Systems of...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online