Planes, Solutions, and Gaussian Elimination of a $3\times3$ Linear System

Visualize the planes and solutions of a system of three linear equations as you apply elementary row operations to the system.

Identifier:
http://demonstrations.wolfram.com/PlanesSolutionsAndGaussianEliminationOfA33LinearSystem/http://demonstrations.wolfram.com/PlanesSolutionsAndGaussianEliminationOfA33LinearSystem/
Rating:
Creator(s):
Klaus Michelsen
Cataloger:
Publisher:
Wolfram Demonstrations Project
Rights:
Klaus Michelsen and Wolfram Research
Format Other:

takes a bit of getting used to, but works well

This application allows the student to work through several examples of a 3 by 3 system and to see the geometrical result of individual row operations. The system can be presented either as a system or as an augmented matrix. The application takes a bit of getting used to, but works well.

User can control coefficients of the three linear equations

User can control coefficients of the three linear equations in $\mathbf{R}^3$ and see the dynamic change of the three planes as the coefficients are being changed.