MATLAB Function Reference

null

Null space of a matrix

Syntax

B = null(A)

Description

B = null(A) returns an orthonormal basis for the null space of A.

Remarks

B'*B = I, A*B has negligible elements, and (if B is not equal to the empty matrix) the number of columns of B is the nullity of A.

Example

A =
     1     2     3
     1     2     3
     1     2     3

null(A)

ans =
   -0.1559    0.9509
   -0.7971   -0.2809
    0.5834   -0.1297

null(A,'r')

ans =
    -2    -3
     1     0
     0     1

See Also

orth, qr, svd

now

num2cell