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