Elementary Row Operations, Row Echelon Form, and Reduced Row Echelon Form
Автор: Christopher Lum
Загружено: 2023-09-11
Просмотров: 4146
In this video we discuss how elementary row operations can be performed in a matrix to place it in row echelon form and reduced row echelon form. This is sometimes referred to as Gaussian Elimination and Gauss-Jordan Elimination, respectively. These are fundamental operations on matrices and is the foundation for more advanced linear algebra concepts that will be covered in future lectures.
Topics and timestamps:
0:00 – Introduction
6:53 – Row switching
8:12 – Row multiplication
9:33 – Row addition
16:15 – Row echelon form
35:52 – Reduced row echelon form
46:19 – Computing matrix inverse
Lecture notes and code can be downloaded from https://github.com/clum/YouTube/tree/...
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