# RREF Calculator

> Convert a 2x2, 2x3, 3x3, or 3x4 matrix to reduced row echelon form using Gauss-Jordan elimination. Returns the RREF matrix, the matrix rank, and a solution reading for augmented systems.

**URL:** https://www.calculatoranswers.com/rref-calculator
**Category:** Education

## Quick Answer

Convert any matrix to its reduced row echelon form. Enter the matrix dimensions and values to see step-by-step Gauss-Jordan elimination.

## Definition

An RREF calculator is a linear algebra tool that transforms a matrix into its reduced row echelon form using Gauss-Jordan elimination. It takes a matrix of arbitrary dimensions and performs row operations (swapping rows, multiplying a row by a scalar, and adding multiples of rows) until each leading entry is a one and is the only non-zero entry in its column. The calculator also computes the rank of the matrix and solves augmented matrix systems. Students and mathematicians use it to solve systems of linear equations.

## How to Use

1. **Set matrix size** — Choose the number of rows and columns for your input matrix.
2. **Enter matrix coefficients** — Type the numerical values into the grid cells of the matrix.
3. **View the RREF matrix** — Read the final reduced row echelon form matrix, the rank, and the system solutions.

## Disclaimer

This calculator provides estimates for educational and planning purposes. Always consult a qualified professional for specific advice on financial, medical, legal, or other regulated decisions.

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