This tool will help you solve systems of linear equations using Gaussian Elimination.

## How to Use the Gaussian Elimination Calculator

Add the number of rows and columns that correspond to your matrix by clicking “Add Row”. Then fill in the matrix with the coefficient values. Click “Calculate” to get the result, reduced to row-echelon form.

## How it Calculates the Results

The calculator uses the Gaussian elimination method to transform the matrix into its row-echelon form. This involves performing operations such as row swaps, row multiplication, and row addition/subtraction to achieve a triangular form, from which solutions can be easily obtained.

## Limitations

The calculator may not handle ill-conditioned matrices efficiently. It is designed for typical systems of linear equations but may struggle with very large matrices or matrices with nearly identical rows.