Reduced Row Echelon Form of the Matrix Explained | Linear Algebra
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 Published On May 13, 2023

What is reduced row echelon form of a matrix? We give the definition of reduced row echelon form of matrices (rref) also called canonical form, compare reduced row echelon form to row echelon form, see some examples and non examples of rref matrices, and cover how to use Gauss-Jordan elimination to transform a matrix into its unique reduced row echelon form. #linearalgebra

Row Echelon Form Explained:    • Row Echelon Form of the Matrix Explai...  
Guide to Gaussian Elimination:    • A Guide to Gaussian Elimination Metho...  
Guide to Gauss-Jordan Elimination:    • Guide to Gauss-Jordan Elimination (an...  

0:00 Intro
0:28 Row Echelon Form
2:25 Reduced Row Echelon Form
4:10 Examples and Non-Examples
5:52 Reducing a Matrix to Reduced Row Echelon Form with Elementary Row Operations
7:25 What does Reduced Row Echelon Form tell us?
8:06 Outro

Linear Algebra course:    • Linear Algebra  
Linear Algebra exercises:    • Linear Algebra Exercises  

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Graph Theory: https://amzn.to/3JHQtZj
Real Analysis: https://amzn.to/3CMdgjI
Proofs and Set Theory: https://amzn.to/367VBXP (available for free online)
Statistics: https://amzn.to/3tsaEER
Abstract Algebra: https://amzn.to/3IjoZaO
Discrete Math: https://amzn.to/3qfhoUn
Number Theory: https://amzn.to/3JqpOQd

★DONATE★
◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits:   / wrathofmathlessons  
◆ Donate on PayPal: https://www.paypal.me/wrathofmath

Thanks to Petar, dric, Rolf Waefler, Robert Rennie, Barbara Sharrock, Joshua Gray, Karl Kristiansen, Katy, Mohamad Nossier, and Shadow Master for their generous support on Patreon!

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