The rank of a matrix.

Syntax

r = Rank(m, tol)

Argument

Name

Description

m

A matrix.

Tol

(optional)

A real number used as the threshold for rounding off near zero singular values. The default is the largest dimension mulitiplied by Eps(s), where s is the largest singular value.

Output

Name

Description

r

The rank.

Example

Find the rank of matrix: [1,2,3;4,5,6;2,4,6].

Syntax

r = Rank([1,2,3;4,5,6;2,4,6])

Result

r = 2

Comments

The rank is the number of linearly independent rows or columns in a matrix.

See Also:

Cond

Det

Inv

Norm