Planes, Solutions, and Gaussian Elimination of a 3×3 Linear System
Gaussian elimination is often used as a pen-and-paper exercise for solving simple linear systems, but the geometric counterpart may remain elusive during this exercise. Use this Demonstration to visualize the planes and solutions of a system of three linear equations as you apply elementary row operations to the system. Alternatively, simply play around with the parameters to visualize various types of solutions.[more]
Solutions are shown in red, either as a point, a line, or a plane.
The color of each linear equation is repeated by the parameter sliders, the plane, and the normal vector.
Use the tooltips of the user interface as guides.[less]