# null

Null space of matrix

## Description

## Examples

## Input Arguments

## Output Arguments

## Algorithms

`null(A)`

calculates the singular value decomposition of matrix
`A`

, such that `A = U*S*V'`

. The columns of
`V`

corresponding to singular values equal to zero (within tolerance) form
a set of orthonormal basis vectors for the null space. Different machines and releases of
MATLAB^{®} can produce different singular vectors that are still numerically accurate, so
values calculated using `null`

may differ.

The rational basis for the null space `null(A,"rational")`

is obtained
from the reduced row echelon form of `A`

, as calculated by
`rref`

.

## Extended Capabilities

## Version History

**Introduced before R2006a**