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MSBVAR (version 0.9-2)

null.space: Find the null space of a matrix

Description

Computes the null space of A for an arbitrary linear system of the form Ax = b.

Usage

null.space(x)

Arguments

x
$m x n$ $A$ matrix of a linear system $Ax = b$

Value

Returns an $m x q$ matrix that is the null space, where $q$ is the rank of $A$.

Details

Computes the null space via singular value decomposition (SVD) of A by finding the columns of the SVD of A that correspond to the non-singular column vectors that span A.

See Also

svd