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 Explai...  
GaussJordan Elimination:    • Guide to GaussJordan Elimination (an...  
Gaussian Elimination Example Problems: (coming soon)

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

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)

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