Elementary Row Operations, Row Echelon Form, and Reduced Row Echelon Form

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/... All linear algebra videos in a single playlist (   • Linear Algebra  ) #LinearAlgebra You can support this channel via Patreon at   / christopherwlum   or by clicking on the ‘Thanks’ button underneath the video. Thank you for your help!