Row Echelon Form of the Matrix Explained | Linear Algebra

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: https://www.seevid.ir/fa/w/90YQb3Gajao Guide to Gaussian Elimination: https://www.seevid.ir/fa/w/seet9VyHo3Q Find Rank of a Matrix: https://www.seevid.ir/fa/w/cSj82GG6MX4 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: https://www.patreon.com/join/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: https://www.instagram.com/wrathofmathedu ● Facebook: https://www.facebook.com/WrathofMath ● Twitter: https://twitter.com/wrathofmathedu My Math Rap channel: https://www.seevid.ir/fa/result?ytch=UCQ2UBhg5nwWCL2aPC7_IpDQ

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