Wetzel

Math 110

7.1(10.1) – Gaussian Elimination Method

 

What is a matrix?

 

                                               

 

·        Rows

·        Columns

·        Size:     # of rows   x   # of columns

·        Element

 

 

Example One:

 

 

                     Solve this system of equations.

 

                        1.)  Written as an augmented matrix:

 

                                   

 

            2.)  Use the Gaussian Elimination Method to get the matrix into Reduced Row Echelon Form.

                       

                                   

 

 

 

 

 

 

            3.)  Rewrite as a system of equations.

 

                                   

                                   

 

Example Two:

 

 

                        1.)  Write as an augmented matrix.

                       

                                               

 

                       

                        2.)  Get into Reduced Row Echelon Form.

 

                        3.)  Rewrite as a system of equations.

 

 

            HW:  6th  & 5th Ed.   #1-25odd