How to find Determinant of a Matrix in R - Step by Step Examples

How to find Determinant of a Matrix in R ?

Answer

To find the determinant of a matrix in R, you can use the det() function. This function takes a matrix as input and returns its determinant.

✐ Examples

1 Find Determinant of a 2x2 Matrix

In this example,

First, we create a 2x2 matrix named matrix1 using the matrix() function with a vector of values c(1, 2, 3, 4) and specify the number of rows as 2.
To find the determinant of the matrix, we use the det() function on matrix1 and store the result in a variable called determinant1.
The det() function computes the determinant of the matrix using its values.
Finally, we use the print() function to display the determinant stored in determinant1.

R Program

matrix1 <- matrix(c(1, 2, 3, 4), nrow = 2)
determinant1 <- det(matrix1)
print(determinant1)

Output

[1] -2

2 Find Determinant of a 3x3 Matrix

In this example,

We first create a 3x3 matrix named matrix2 using the matrix() function with a vector of values c(1, 2, 3, 4, 5, 6, 7, 8, 9) and specify the number of rows as 3.
To find the determinant of the matrix, we use the det() function on matrix2 and store the result in a variable called determinant2.
The det() function computes the determinant of the matrix using its values.
Finally, we use the print() function to display the determinant stored in determinant2.

R Program

matrix2 <- matrix(c(1, 2, 3, 4, 5, 6, 7, 8, 9), nrow = 3)
determinant2 <- det(matrix2)
print(determinant2)

Output

[1] 0

3 Find Determinant of a 4x4 Matrix

In this example,

First, we create a 4x4 matrix named matrix3 using the matrix() function with a vector of values c(10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160) and specify the number of rows as 4.
To find the determinant of the matrix, we use the det() function on matrix3 and store the result in a variable called determinant3.
The det() function computes the determinant of the matrix using its values.
Finally, we use the print() function to display the determinant stored in determinant3.

R Program

matrix3 <- matrix(c(10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160), nrow = 4)
determinant3 <- det(matrix3)
print(determinant3)

Output

[1] 0

Summary

In this tutorial, we learned How to find Determinant of a Matrix in R language with well detailed examples.

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