R: Calculate the Determinant of a Matrix

det {base}

R Documentation

Calculate the Determinant of a Matrix

Description

det calculates the determinant of a matrix. determinant is a generic function that returns separately the modulus of the determinant, optionally on the logarithm scale, and the sign of the determinant.

Usage

det(x, ...)
determinant(x, logarithm = TRUE, ...)

Arguments

`x`	numeric matrix: logical matrices are coerced to numeric.
`logarithm`	logical; if `TRUE` (default) return the logarithm of the modulus of the determinant.
`...`	optional arguments, currently unused.

Details

The determinant function uses an LU decomposition and the det function is simply a wrapper around a call to determinant.

Often, computing the determinant is not what you should be doing to solve a given problem.

Value

For det, the determinant of x. For determinant, a list with components

`modulus`	a numeric value. The modulus (absolute value) of the determinant if `logarithm` is `FALSE`; otherwise the logarithm of the modulus.
`sign`	integer; either `+1` or `-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))))

[Package base version 4.4.1 Index]