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% File src/library/base/man/t.Rd% Part of the R package, https://www.R-project.org% Copyright 1995-2007 R Core Team% Distributed under GPL 2 or later\name{t}\alias{t}\alias{t.default}\alias{t.data.frame}\title{Matrix Transpose}\description{Given a matrix or \code{\link{data.frame}} \code{x},\code{t} returns the transpose of \code{x}.}\usage{t(x)}\arguments{\item{x}{a matrix or data frame, typically.}}\details{This is a generic function for which methods can be written. Thedescription here applies to the default and \code{"data.frame"} methods.A data frame is first coerced to a matrix: see \code{\link{as.matrix}}.When \code{x} is a vector, it is treated as a column, i.e., theresult is a 1-row matrix.}\value{A matrix, with \code{dim} and \code{dimnames} constructedappropriately from those of \code{x}, and other attributes exceptnames copied across.}\note{The \emph{conjugate} transpose of a complex matrix \eqn{A}, denoted\eqn{A^H} or \eqn{A^*}, is computed as \code{\link{Conj}(t(A))}.}\references{Becker, R. A., Chambers, J. M. and Wilks, A. R. (1988)\emph{The New S Language}.Wadsworth & Brooks/Cole.}\seealso{\code{\link{aperm}} for permuting the dimensions of arrays.}\examples{a <- matrix(1:30, 5, 6)ta <- t(a) ##-- i.e., a[i, j] == ta[j, i] for all i,j :for(j in seq(ncol(a)))if(! all(a[, j] == ta[j, ])) stop("wrong transpose")}\keyword{array}