# Getting the Modulus of the Determinant of a Matrix in R Programming – determinant() Function

`determinant()` function in R Language is a generic function that returns separately the modulus of the determinant, optionally on the logarithm scale, and the sign of the determinant.

Syntax: determinant(x, logarithm = TRUE, …)

Parameters:
x: matrix
logarithm: if TRUE (default) return the logarithm of the modulus of the determinant

Example 1:

 `# R program to illustrate ` `# determinant function ` ` `  `# Initializing a matrix with ` `# 3 rows and 3 columns ` `x <``-` `matrix(c(``3``, ``2``, ``6``, ``-``1``, ``7``, ``3``, ``2``, ``6``, ``-``1``), ``3``, ``3``) ` ` `  `# Getting the matrix representation ` `x ` ` `  `# Calling the determinant() function ` `determinant(x) `

Output:

```     [, 1] [, 2] [, 3]
[1, ]    3   -1    2
[2, ]    2    7    6
[3, ]    6    3   -1

\$modulus
 5.220356
attr(, "logarithm")
 TRUE

\$sign
 -1

attr(, "class")
 "det"
```

Example 2:

 `# R program to illustrate ` `# determinant function ` ` `  `# Initializing a matrix with ` `# 2 rows and 2 columns ` `x <``-` `matrix(c(``1``, ``2``, ``3``, ``4``), ``2``, ``2``) ` ` `  `# Getting the matrix representation ` `x ` ` `  `# Calling the determinant() function ` `determinant(x, logarithm ``=` `FALSE) `

Output:

```     [, 1] [, 2]
[1, ]    1    3
[2, ]    2    4

\$modulus
 2
attr(, "logarithm")
 FALSE

\$sign
 -1

attr(, "class")
 "det"
```
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