Linear Equation Solver

Solve systems of linear equations $A\mathbf{x} = \mathbf{b}$ using row reduction with detailed step-by-step output.
Handles consistent, inconsistent, and underdetermined systems.

A system of linear equations $A\mathbf{x} = \mathbf{b}$ can be:

  • Consistent with unique solution: Exactly one solution exists
  • Consistent with infinitely many solutions: Free variables present (underdetermined)
  • Inconsistent: No solution exists (contradictory equations)

This solver uses Gauss-Jordan elimination to reduce $[A|\mathbf{b}]$ to RREF and determine the solution set.

Equations (rows, $m$): Variables (columns, $n$):
Display Values as:
© 2025 Shelvean Kapita: kapita@tamu.edu
Last modified: January 12, 2026
Licensed under the MIT License.