We introduce row echelon form of a matrix, compare it with reduced row echelon form of a matrix, see several examples of reduced row echelon form matrices and row echelon matrices, and finish by using Gaussian elimination to transform a matrix into row echelon form. #linearalgebra

A matrix is in row echelon form if its zero rows are at the bottom, its nonzero rows have leading 1s, and each leading 1 is further right than the leading 1 above it.

Reduced Row Echelon Form Explained:    • Reduced Row Echelon Form of the Matri...  
Guide to Gaussian Elimination:    • A Guide to Gaussian Elimination Metho...  
Find Rank of a Matrix:    • How to Find the Rank of a Matrix (wit...  

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

◉Textbooks I Like◉
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!

Thanks to Crayon Angel, my favorite musician in the world, who upon my request gave me permission to use his music in my math lessons: https://crayonangel.bandcamp.com/

Follow Wrath of Math on...
● Instagram:   / wrathofmathedu  
● Facebook:   / wrathofmath  
● Twitter:   / wrathofmathedu  

My Math Rap channel:    / @mathbars2020