\name{null.space} \alias{null.space} %- Also NEED an '\alias' for EACH other topic documented here. \title{ 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) } %- maybe also 'usage' for other objects documented here. \arguments{ \item{x}{ \eqn{m \times n}{m x n} \eqn{A} matrix of a linear system \eqn{Ax = b} } } \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. } \value{ Returns an \eqn{m \times q}{m x q} matrix that is the null space, where \eqn{q} is the rank of \eqn{A}. } %\references{ } \author{ Patrick T. Brandt } %\note{ } \seealso{ \code{\link{svd}} } %\examples{} \keyword{ algebra }% at least one, from doc/KEYWORDS \keyword{ array }% __ONLY ONE__ keyword per line