Guide to Gauss-Jordan Elimination (and Solving Systems of Equations) | Linear Algebra

We go over a step by step algorithm for performing the Gauss-Jordan elimination method on a matrix. How to perform Gaussian elimination is simply to use a sequence of elementary row operations to transform a matrix into its reduced row echelon form. We see several examples of Gauss-Jordan elimination and show how to use the resulting reduced row echelon matrix to solve the system of linear equations it represents. This requires solving for leading variables and occasionally the use of parameters. #linearalgebra Intro Example 2 Example 2 Solving the System (No Parameters) Examples 3 Solving the System (Parametric Solution) Reduced Row Echelon Form Explained: https://www.seevid.ir/fa/w/90YQb3Gajao Guide to Gaussian Elimination: https://www.seevid.ir/fa/w/seet9VyHo3Q Gauss-Jordan Elimination Example Problems: (coming soon) 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 Abstract Algebra: https://amzn.to/3IjoZaO Linear Algebra: https://amzn.to/43xAWEz Calculus: https://amzn.to/3PieD1M Proofs and Set Theory: https://amzn.to/367VBXP (available for free online) Statistics: https://amzn.to/3tsaEER 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 Loke Tan, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Roslyn Goddard, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon! Outro music is mine. You cannot find it anywhere, for now. 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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