# Gaussian elimination

This tool uses the Gaussian elimination for solving systems of linear equations represented by a matrix.

Syntax for entering a matrix: Spaces separate columns and new lines define new rows.

## Solution

#### Additional information

In linear algebra, Gaussian elimination (also known as row reduction) is an algorithm for solving systems of linear equations. It is usually understood as a sequence of operations performed on the associated matrix of coefficients. This method can also be used to find the rank of a matrix, to calculate the determinant of a matrix, and to calculate the inverse of an invertible square matrix. Read more

#### Source code

#### Keywords

`math`

`gaussian`

`elimination`

`matrix`

`solve`

`linear`

`equation`

`simplify`