# rank¶

## Purpose¶

Computes the rank of a matrix, using the singular value decomposition.

## Format¶

k = rank(x)
Parameters

x (NxP matrix) – data

Returns

k (scalar) – an estimate of the rank of x. This equals the number of singular values of x that exceed a prespecified tolerance in absolute value.

## Examples¶

// Completely random x
x1 = rndn(150, 1);
rank(x1);

// X2 is multiple of x1
x2 = 2*x1;
rank(x1~x2);


For this example, the rank of both x1 and x1~x2 is one:

1.0000000
1.0000000


## Global Input¶

_svdtol

scalar, the tolerance used in determining if any of the singular values are effectively 0. The default value is 10e-13. This can be changed before calling the procedure.

svd.src