Gauss Elimination Calculator

Gauss Elimination is an intuitive tool designed to perform Gauss-Jordan Elimination and compute various matrix spaces such as Row, Column, and Null Spaces. The application lets you input matrix dimensions using scrollbars, and you can modify the matrix elements directly by typing into the active cells. Navigation is simple—use the NEXT key or tap a specific cell to make edits.

The app supports exact calculations, including those involving fractions, ensuring high accuracy. Once you've entered the matrix, you can choose from several options to see the results, which will be displayed at the bottom along with step-by-step explanations:

Gauss Elimination: Performs Gaussian Elimination, producing an unreduced Row-Echelon form.
Jordan Elimination: Executes Gauss-Jordan Elimination, returning a fully reduced Row-Echelon form.
INV: Finds the inverse of the matrix, if possible, using Gauss-Jordan Elimination.
Null Space: Calculates the Null Space by applying Gauss-Jordan Elimination.
Col Space: Determines the Column Space using the elimination process on the matrix's transpose.
Row Space: Computes the Row Space using Gauss-Jordan Elimination.

This application makes matrix operations simple, precise, and accessible for users needing quick and accurate results."