kernel

kernel, null space

Syntax

W=kernel(A [,tol,[,flag])

Arguments

A: full real or complex matrix or real sparse matrix
flag: character string 'svd' (default) or 'qr'
tol: real number
W: full column rank matrix

Description

W=kernel(A) returns the kernel (null space) of A, and size(W,2) is the nullity of A. If A has full column rank then an empty matrix [] is returned.

flag and tol are optional parameters: flag = 'qr' or 'svd' (default is 'svd').

tol = tolerance parameter (of order %eps as default value).

Examples

A=rand(3,1)*rand(1,3);
A*kernel(A)
A=sparse(A);
clean(A*kernel(A))

kernel

Syntax

Arguments

Description

Examples

See also