The Gaussian Algorithm Visualized: Geometric Interpretation and Linear Transformations

Visualize the Gaussian algorithm through a 14-minute video that explores its geometric interpretation and application in linear algebra. Delve into the algebraic method of solving systems of linear equations, examining both 2D and 3D operations from geometric and algebraic perspectives. Explore how the algorithm manipulates planes and lines to align with coordinate axes, and discover its role in breaking down linear transformations into simpler components. Gain insights into elementary matrices and their geometric representations, enhancing your understanding of this fundamental concept in linear algebra.

Systems of Linear Equations
Geometric Interpretation
2D operations algebraically
2D operations geometrically
3D operations
Linear Transformations
Elementary matrices algebraically
Elementary matrices geometrically