Symbolic Math Toolbox

null

Basis for null space

Syntax

• Z = null(A)
  

Description

The columns of Z = null(A) form a basis for the null space of A.

size(Z,2) is the nullity of A.

A*Z is zero.

If A has full rank, Z is empty.

Examples

The statements

• A = sym(magic(4));
  Z = null(A)
  A*Z
  

return

• [ -1]
  [ -3]
  [  3]
  [  1]
  
  [ 0]
  [ 0]
  [ 0]
  [ 0]
  

See Also

arithmetic operators, colspace, rank, rref, svd
null in the online MATLAB Function Reference.

mhelp

numden