A Guide to Gaussian Elimination Method (and Solving Systems of Equations) | Linear Algebra

Support the production of this course by joining Wrath of Math to access all my Linear Algebra videos plus lecture notes at the premium tier!    / @wrathofmath   🛍 Check out my math fashion brand! https://mathshion.com/ Linear Algebra course:    • Linear Algebra   Linear Algebra exercises:    • Linear Algebra Exercises   Get the textbook! https://amzn.to/45KYgmA Business Inquiries: [email protected] We go over a step by step algorithm for performing the Gaussian 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 row echelon form. We see several examples of Gaussian elimination and show how to use the resulting row echelon matrix to solve the system of linear equations it represents. This requires solving for leading variables then performing back substitution. #linearalgebra Row Echelon Form Explained:    • Row Echelon Form of the Matrix Explained |...   Gauss-Jordan Elimination:    • Guide to Gauss-Jordan Elimination (and Sol...   ★DONATE★ ◆ Support Wrath of Math on Patreon:   / wrathofmathlessons   ◆ Donate on PayPal: https://www.paypal.me/wrathofmath Follow Wrath of Math on... ● Instagram:   / wrathofmathedu   ● TikTok:   / wrathofmathedu   ● X: https://x.com/wrathofmathedu 0:00 Intro 9:16 Example 2 11:04 Example 2 Solving the System (No Parameters) 12:49 Examples 3 Solving the System (Parametric Solution)