Gauss-Jordan Elimination
Автор: Brian Fitzpatrick
Загружено: 2022-09-05
Просмотров: 1371
Описание:
RESOURCES
Lecture slides: https://gitlab.oit.duke.edu/bdf10/218...
Extra examples: https://gitlab.oit.duke.edu/bdf10/218...
Course site: https://bfitz.xyz
OVERVIEW
0:00 - Reduced row Echelon Form (Elementary Row Operations)
3:18 - Reduced row Echelon Form (Existence and Uniqueness of rref(A))
6:47 - The Gauss-Jordan Algorithm (Description)
9:39 - The Gauss-Jordan Algorithm (Example)
13:15 - Rank and Nullity (Pivot and Nonpivot Columns)
14:51 - Rank and Nullity (Definitions)
15:50 - Rank and Nullity (Properties)
18:28 - Rank and Nullity (Example)
20:20 - Rank and Nullity (Rank Descriptors)
22:28 - Rank and Nullity (Rank Descriptors Example)
23:56 - Rank and Nullity (Column Relations)
26:04 - Solving Linear Systems (Demonstration)
29:08 - Solving Linear Systems (Rouche-Capelli Theorem)
31:16 - Solving Linear Systems (Example 1)
32:19 - Solving Linear Systems (Example 2)
34:52 - Solving Linear Systems (Example 3)
35:59 - Sage Tutorial
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