Solve 3x3 systems with matrices (Gaussian elimination - row reduction) | Math Hacks
27:21
YouTubeMath Hacks
Solve 3x3 systems with matrices (Gaussian elimination - row reduction) | Math Hacks
In this introductory Linear Algebra tutorial, Brett shows you how to solve a 3x3 system of equations with three variables using Gaussian Elimination also known as row reduction. You'll learn how to transcribe a system of equations into an augmented matrix as well as the rules you can apply to the augmented matrix to manipulate it into both row ...
15K viewsJan 23, 2019
Shorts
Gaussian elimination is a standard procedure used to solve systems of linear equations by applying elementary row operations to the augmented matrix of the system. These operations consist of: 1. Interchanging two rows 2. Multiplying a row by a nonzero scalar 3. Replacing a row by the sum of itself and a multiple of another row The objective is to transform the augmented matrix into row echelon form (REF), where all entries below each leading coefficient (pivot) are zero and each pivot appears t
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