1.2.1 Gaussian Elimination

SWBAT:define and use Row-Echelon and Reduced Row-Echelon Form

In the previous set of notes you solved a system of equations and you answer looked like this:

This is an example of a matrix in Reduced Row-Echelon form

3100

2010

1001

0000

2100

1021

100

010

001

00

00

0100

2110

1341

0100

0110

0111

01000

06100

01210

For the Matrices that are not in Reduced row-echelon form, they still look very different than this matrix:

I did this for a reason! What are the common attributes? How are they different? Is there such a thing as column echelon from?

◦ What would it look like?

4527

215103

5952

pg. 19 and 20

1, 2, 3, and write the following as a matrix and write in echelon and reduce echelon form: 6, 8