# Matrix rank

Calculates a square matrix rank.

## Rank of a matrix

There are several definitions of the rank of a matrix. We give below the one used in this calculator.

**Matrix rank definition**

The rank of a matrix is the maximum number of its linearly independent column vectors (or row vectors). The most commonly used method for calculating the rank is the Gauss pivot method.

## See also

Matrix determinant

Inverse matrix

Linear algebra Calculators