# null

Compute an orthonormal basis for the nullspace of a matrix.

## Syntax

N = null(A)

N = null(A, tol)

## Inputs

`A`- The matrix whose nullspace basis is computed.
`tol`- A threshold for rounding off near-zero singular values. The default is the product of max(size(A)), the largest singular value, and eps.

## Outputs

- N
- The right nullspace.

## Example

Matrix input with default
tolerance:

```
A = [1,2,3,4;5,6,7,8;9,10,11,12;13,14,15,16];
N = null(A)
```

```
N = [Matrix] 4 x 2
-0.25887 0.48269
-0.01461 -0.83653
0.80584 0.22501
-0.53235 0.12884
```

## Comments

The null space basis is not unique.