
GAUSSIAN ELIMINATION (CHAPTER 06)
Naive Gaussian Elimination : Theory Part 2 of 2
By Autar Kaw 







TOPIC DESCRIPTION  
Learn the theory behind how Naive Gaussian elimination is used to solve a set of simultaneous linear equations.
This video teaches you the theory behind how Naive Gaussian elimination is sued to solve a set of simultaneous linear equations. 



ALL VIDEOS FOR THIS TOPIC  
Naive Gaussian elimination: Theory: Part 1 of 2 [YOUTUBE 10:27] [TRANSCRIPT] Naive Gaussian elimination: Theory: Part 2 of 2 [YOUTUBE 2:22] [TRANSCRIPT] Naive Gauss Elimination Method: Example: Part 1 of 2 (Forward Elimination) [YOUTUBE 10:49] [TRANSCRIPT] Naive Gauss Elimination Method: Example: Part 2 of 2 (Back Substitution) [YOUTUBE 6:40] [TRANSCRIPT]
Pitfalls of Naive Gauss Elimination Method: [YOUTUBE 7:20] [TRANSCRIPT] Naive Gauss Elimination: Roundoff Error Issues: Example: Part 1 of 3 [YOUTUBE 7:20] [TRANSCRIPT] Naive Gauss Elimination: Roundoff Error Issues: Example: Part 2 of 3 [YOUTUBE 7:40] [TRANSCRIPT] Naive Gauss Elimination: Roundoff Error Issues: Example: Part 3 of 3 [YOUTUBE 8:07] [TRANSCRIPT]
Gaussian Elimination With Partial Pivoting: Theory [YOUTUBE 10:39] [TRANSCRIPT] Gaussian Elimination With Partial Pivoting: Example: Part 1 of 3 (Forward Elimination) [YOUTUBE 7:15] [TRANSCRIPT] Gaussian Elimination With Partial Pivoting: Example: Part 2 of 3 (Forward Elimination) [YOUTUBE 10:08] [TRANSCRIPT] Gaussian Elimination With Partial Pivoting: Example: Part 3 of 3 (Back Substitution) [YOUTUBE 6:18] [TRANSCRIPT]
Gaussian Elimination With Partial Pivoting: Roundoff Error Issues: Example: Part 1 of 3 [YOUTUBE 8:58] [TRANSCRIPT] Gaussian Elimination With Partial Pivoting: Roundoff Error Issues: Example: Part 2 of 3 [YOUTUBE 8:17] [TRANSCRIPT] Gaussian Elimination With Partial Pivoting: Roundoff Error Issues: Example: Part 3 of 3 [YOUTUBE 5:48] [TRANSCRIPT]
Determinant of a Matrix Using Forward Elimination Method: Background [YOUTUBE 5:17] [TRANSCRIPT] Determinant of a Matrix Using Forward Elimination Method: Example [YOUTUBE 10:07] [TRANSCRIPT] 



COMPLETE RESOURCES  
Get in one place the following: a textbook chapter, a PowerPoint presentation, individual YouTube lecture videos, worksheets to illustrate the method and its convergence, and multiplechoice questions on Gaussian Elimination. 

Copyrights: University of South Florida, 4202 E Fowler Ave, Tampa, FL 336205350. All Rights Reserved. Questions, suggestions or comments, contact kaw@usf.edu This material is based upon work supported by the National Science Foundation under Grant# 0126793, 0341468, 0717624, 0836981, 0836916, 0836805, 1322586. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation. Based on a work at http://mathforcollege.com/ma. Introduction to Matrix Algebra is licensed under a Creative Commons AttributionNonCommercialNoDerivs 3.0 Unported License. 