| % File src/library/base/man/det.Rd |
| % Part of the R package, https://www.R-project.org |
| % Copyright 1995-2007 R Core Team |
| % Distributed under GPL 2 or later |
| |
| \name{det} |
| \title{Calculate the Determinant of a Matrix} |
| \alias{det} |
| \alias{determinant} |
| \alias{determinant.matrix} |
| \usage{ |
| det(x, \dots) |
| determinant(x, logarithm = TRUE, \dots) |
| } |
| \description{ |
| \code{det} calculates the determinant of a matrix. \code{determinant} |
| is a generic function that returns separately the modulus of the determinant, |
| optionally on the logarithm scale, and the sign of the determinant. |
| } |
| \arguments{ |
| \item{x}{numeric matrix: logical matrices are coerced to numeric.} |
| \item{logarithm}{logical; if \code{TRUE} (default) return the |
| logarithm of the modulus of the determinant.} |
| \item{\dots}{Optional arguments. At present none are used. Previous |
| versions of \code{det} allowed an optional \code{method} argument. |
| This argument will be ignored but will not produce an error.} |
| } |
| \details{ |
| The \code{determinant} function uses an LU decomposition and the |
| \code{det} function is simply a wrapper around a call to |
| \code{determinant}. |
| |
| Often, computing the determinant is \emph{not} what you should be doing |
| to solve a given problem. |
| } |
| \value{ |
| For \code{det}, the determinant of \code{x}. For \code{determinant}, a |
| list with components |
| \item{modulus}{a numeric value. The modulus (absolute value) of the |
| determinant if \code{logarithm} is \code{FALSE}; otherwise the |
| logarithm of the modulus.} |
| \item{sign}{integer; either \eqn{+1} or \eqn{-1} according to whether |
| the determinant is positive or negative.} |
| } |
| \examples{ |
| (x <- matrix(1:4, ncol = 2)) |
| unlist(determinant(x)) |
| det(x) |
| |
| det(print(cbind(1, 1:3, c(2,0,1)))) |
| } |
| |
| \keyword{array} |