# det: Calculate the Determinant of a Matrix

Description Usage Arguments Details Value Examples

## 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

 ```1 2``` ```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. At present none are used. Previous versions of `det` allowed an optional `method` argument. This argument will be ignored but will not produce an error.

## 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

 ```1 2 3 4 5``` ```(x <- matrix(1:4, ncol = 2)) unlist(determinant(x)) det(x) det(print(cbind(1, 1:3, c(2,0,1)))) ```