Free online tool

Linear Systems Workbench

Solve a system of linear equations in the form Ax = b. See the solution and how closely it fits each equation.

Works on your deviceNo account neededJSONOpen workspace ↓

What if my equations have no single exact solution?

The tool finds a best-fit solution and shows the error for each equation. If several best-fit solutions exist, it chooses the one with the smallest overall size. Check the errors before treating the result as exact.

Your input

0 characters

Your input stays in this browser.

Your result

A little clarity, right here.

Start with your own content or load the example. Your result will appear here.

Three simple steps

How to use Linear Systems Workbench

  1. Choose your input and adjust the options.

  2. Review the preview and run the tool.

  3. Download the result and keep your original.

Common questions

Good to know

Understand the result.
Keep the original.

Is this tool free, and are my files uploaded?

This tool is free with no account required. The work happens in your browser. Your input and files are not sent to a processing server.

What are the limits and details?

Up to 20 equations and 20 unknowns. Near-singular matrices are sensitive to rounding; the reported rank depends on numerical tolerance. A least-squares result need not satisfy every equation exactly.

Limits: 500,000 characters per text field; files up to 20 MB each, 10 files and 50 MB total. Processing stops after 30 seconds.