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 4.4.0 Index]