1313_section2o2 - Section 2.2 Solving Systems of Linear...

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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 MatricesMatricesare rectangular arrays of numbers. We will use these to solve systems of equation in 2 or more variables. Example: Given 222758322642=++-=++=zyxzyxzyx. The coefficient matrix is: -211583642. The augmented matrix is: -22722|||211583642Example: The augmented matrix is: --802611055412. Write down the system.

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