Matrice : Gauss-Jordan APK

Matrice – Gauss‑Jordan Solver

Overview

• Matrice is a dedicated desktop‑or‑web utility built around the classic Gauss‑Jordan elimination technique (also known as Gaussian elimination).

• It is intended for students, engineers, and anyone who frequently works with linear systems or needs to generate polynomial models from data points.

• The interface is streamlined, allowing the user to focus on the mathematics while the program handles the arithmetic, fraction management, and visual output.

Core Capabilities

• Exact arithmetic

- The engine works natively with integers, decimals, and rational fractions, preserving precision throughout the computation.

• Dual output format

- Results are presented simultaneously as reduced fractions and as decimal approximations.

• Image export

- Every solution matrix, intermediate step, or final graph can be saved as a high‑resolution image for reports or presentations.

Function # 1 – Solving Linear Systems

This module solves a system of n linear equations using the Gauss‑Jordan method.

• Input flexibility – Accepts coefficients entered as whole numbers, decimal values, or fractions (e.g., 3/7).

• Automatic reduction – The algorithm reduces the augmented matrix to reduced row‑echelon form, delivering the unique solution, a parametric family, or a statement of inconsistency when appropriate.

• Limit on variables – Systems with up to three unknowns are processed instantly; larger systems are accepted but will not receive a step‑by‑step textual explanation.

• Result presentation – The solution vector is displayed both as exact fractions and rounded decimal values, allowing immediate verification.

Function # 2 – Polynomial Construction from Points

From a set of given points, Matrice constructs the corresponding interpolating polynomial.

• Supported data types – Coordinates may be entered as integers, decimals, or fractions, ensuring that the derived polynomial reflects the exact input.

• Graphical output – The resulting polynomial is plotted on a Cartesian grid, with axes automatically scaled to include all supplied points.

• Export options – Both the algebraic expression and the graph can be saved, facilitating inclusion in coursework or technical documentation.

Bonus Utilities

• Fraction simplifier – Reduces any fraction to its lowest terms, displaying the simplified form instantly.

• Integer decomposition – Breaks a given integer into its prime factors, useful for number‑theory exercises or simplifying denominators.

Practical Tips

• Verify that all coefficients are entered in the same numeric format to avoid unintended conversions.

• Use the image‑export feature after each major step to create a clear audit trail for assignments.

• For systems larger than three variables, consider exporting the matrix before proceeding, as the program will not generate a detailed walkthrough.

Enjoy the precision and convenience that Matrice brings to linear algebra and polynomial analysis.

FAQ

Q: Who is Matrice best suited for?

A: Matrice is ideal for students, engineers, and professionals who work with linear algebra, polynomial interpolation, or numerical computations.

Q: Is Matrice free to use?

A: The accessibility depends on the version. Some functionality may be available for free, while advanced features could require a subscription or purchase.

Q: How do I input a system of equations into Matrice?

A: You can enter coefficients as whole numbers, decimals, or fractions (e.g., 3/7). Simply input the augmented matrix, and Matrice will apply Gauss-Jordan elimination.

Version History

v2.0.15——5 Aug 2025

Solving Equations via elimination method Gauss-Jordan (with fraction) Download the latest version of Matrice : Gauss-Jordan to enjoy new features and updates immediately!

*2.0.15

MAJ composants systèmes

*2.0.14

MAJ internes

*2.0.12

MAJ composants internes