Gaussian Elimination (CHAPTER 04.06)
Naïve Gauss Elimination Method – Theory
Summary
Learn the theory behind how Naive Gaussian elimination is used to solve a set of simultaneous linear equations.
Learning Objective
Solve a set of simultaneous linear equations using the Naive Gauss Elimination Method.
Transcript
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Annotated Slides
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Naive Gaussian elimination: Theory: Part 1 of 2 [YOUTUBE 10:27]
Naive Gaussian elimination: Theory: Part 2 of 2 [YOUTUBE 2:22]
Naive Gauss Elimination Method: Example: Part 1 of 2 (Forward Elimination) [YOUTUBE 10:49]
Naive Gauss Elimination Method: Example: Part 2 of 2 (Back Substitution) [YOUTUBE 6:40]
Pitfalls of Naive Gauss Elimination Method: [YOUTUBE 7:20]
Naive Gauss Elimination: Round-off Error Issues: Example: Part 1 of 3 [YOUTUBE 7:20]
Naive Gauss Elimination: Round-off Error Issues: Example: Part 2 of 3 [YOUTUBE 7:40]
Naive Gauss Elimination: Round-off Error Issues: Example: Part 3 of 3 [YOUTUBE 8:07]
Gaussian Elimination With Partial Pivoting: Theory [YOUTUBE 10:39]
Gaussian Elimination With Partial Pivoting: Example: Part 1 of 3 (Forward Elimination) [YOUTUBE 7:15]
Gaussian Elimination With Partial Pivoting: Example: Part 2 of 3 (Forward Elimination) [YOUTUBE 10:08]
Gaussian Elimination With Partial Pivoting: Example: Part 3 of 3 (Back Substitution) [YOUTUBE 6:18]
Gaussian Elimination With Partial Pivoting: Round-off Error Issues: Example: Part 1 of 3 [YOUTUBE 8:58]
Gaussian Elimination With Partial Pivoting: Round-off Error Issues: Example: Part 2 of 3 [YOUTUBE 8:17]
Gaussian Elimination With Partial Pivoting: Round-off Error Issues: Example: Part 3 of 3 [YOUTUBE 5:48]
Determinant of a Matrix Using Forward Elimination Method: Background [YOUTUBE 5:17]
Determinant of a Matrix Using Forward Elimination Method: Example [YOUTUBE 10:07]
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