Prerequisites & Objectives
Prerequisites for Gaussian Elimination [PDF] [DOC]
Objectives of Gaussian Elimination[PDF] [DOC]
Textbook Chapters
Textbook Chapter on Gaussian Elimination [PDF] [DOC]
Digital Audiovisual Lectures
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: Round-off Error Issues: Example: Part 1 of 3 [YOUTUBE 7:20] [TRANSCRIPT]
Naive Gauss Elimination: Round-off Error Issues: Example: Part 2 of 3 [YOUTUBE 7:40] [TRANSCRIPT]
Naive Gauss Elimination: Round-off 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: Round-off Error Issues: Example: Part 1 of 3 [YOUTUBE 8:58] [TRANSCRIPT]
Gaussian Elimination With Partial Pivoting: Round-off Error Issues: Example: Part 2 of 3 [YOUTUBE 8:17] [TRANSCRIPT]
Gaussian Elimination With Partial Pivoting: Round-off 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]
Multiple Choice Tests
Test your knowledge on Gaussian Elimination [HTML] [PDF] [DOC]
Presentations
PowerPoint Presentation of Gaussian Elimination [PDF] [PPT]
Worksheets
Method [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB]
Examples from Other Majors
Chemical Engineering Example on Gaussian Elimination [PDF] [DOC] [PHY]
Civil Engineering Example on Gaussian Elimination [PDF] [DOC] [PHY]
Computer Engineering Example on Gaussian Elimination [PDF] [DOC] [PHY]
Electrical Engineering Example on Gaussian Elimination [PDF] [DOC] [PHY]
Industrial Engineering Example on Gaussian Elimination [PDF] [DOC] [PHY]
Mechanical Engineering Example on Gaussian Elimination [PDF] [DOC] [PHY]
Related Topics
Intro to Matrix Algebra
Gaussian Elimination