Skip to main content
Library homepage
 

Text Color

Text Size

 

Margin Size

 

Font Type

Enable Dyslexic Font
Mathematics LibreTexts

7.2: Introduction to Gauss Jordan Elimination

( \newcommand{\kernel}{\mathrm{null}\,}\)

The following elementary row operations

  1. Interchange two rows of a matrix
  2. Multiply the elements of a row by a nonzero constant
  3. Add a multiple of the elements of one row to the corresponding elements of another

Login with LibreOne to run this code cell interactively.

If you have already signed in, please refresh the page.

from IPython.display import YouTubeVideo
YouTubeVideo("iGmtmF_hm2g",width=640,height=360, cc_load_policy=True)
from IPython.display import YouTubeVideo
YouTubeVideo("iGmtmF_hm2g",width=640,height=360, cc_load_policy=True)

Consider the element a2,1 in the following A Matrix.

A=[112025|30690]

Question

Describe an elementary row operation that could be used to make element a(2,1) zero?

Question

What is the new matrix given the above row operation.

Modify the contents of this cell and put your answer to the above question here.

A=[110??|30??]

The following function is a basic implementation of the Gauss-Jorden algorithm to an (m,m+1) augmented matrix:


This page titled 7.2: Introduction to Gauss Jordan Elimination is shared under a CC BY-NC 4.0 license and was authored, remixed, and/or curated by Dirk Colbry via source content that was edited to the style and standards of the LibreTexts platform.

Support Center

How can we help?