null (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.

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