Getting the Determinant of the Matrix in R Programming – det() Function

det() function in R Language is used to calculate the determinant of the specified matrix.

Syntax: det(x, …)

Parameters:
x: matrix

Example 1:

# R program to illustrate
# det 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 det() function
det(x)

Output:

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

[1] -185

Example 2:

# R program to illustrate
# det 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

# Getting the transpose of the matrix x
y <- t(x)
y

# Calling the det() function
det(y)

Output:

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

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

[1] -185