Linear Algebra 2.4 Elementary Matrices

In this video, we explore how elementary matrices can be used to represent elementary row operations. We can use those matrices to represent other matrices or to use the inverse in solving systems. Video Chapters: 0:00 Introduction 0:07 Elementary Matrices 3:15 Why Elementary Matrices? 6:34 Using Elementary Matrices 9:16 Theorems and Definitions 10:43 Using the Inverse of an Elementary Matrix 14:15 Equivalent Statements 16:08 LU Factorization 19:20 Using LU Factorization to Solve a System of Equations 25:56 Up Next Textbook: Elementary Linear Algebra 8e, Ron Larson Slide Decks: https://bellevueuniversity-my.sharepo... Playlist:    • Linear Algebra (Full Course)