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

How to find Inverse of a Matrix in R ?

Answer

To find the inverse of a matrix in R, you can use the solve() function. This function takes a matrix as input and returns its inverse, provided the matrix is square and non-singular.


✐ Examples

1 Find Inverse of a 2x2 Matrix

In this example,

  1. First, we create a 2x2 matrix named matrix1 using the matrix() function with a vector of values c(4, 7, 2, 6) and specify the number of rows as 2.
  2. To find the inverse of the matrix, we use the solve() function on matrix1 and store the result in a variable called inverseMatrix1.
  3. The solve() function computes the inverse of the matrix if it exists.
  4. Finally, we use the print() function to display the inverse matrix stored in inverseMatrix1.

R Program

matrix1 <- matrix(c(4, 7, 2, 6), nrow = 2)
inverseMatrix1 <- solve(matrix1)
print(inverseMatrix1)

Output

     [,1] [,2]
[1,]  0.6 -0.7
[2,] -0.2  0.4

2 Find Inverse of a 3x3 Matrix

In this example,

  1. We first create a 3x3 matrix named matrix2 using the matrix() function with a vector of values c(1, 2, 3, 0, 1, 4, 5, 6, 0) and specify the number of rows as 3.
  2. To find the inverse of the matrix, we use the solve() function on matrix2 and store the result in a variable called inverseMatrix2.
  3. The solve() function computes the inverse of the matrix if it exists.
  4. Finally, we use the print() function to display the inverse matrix stored in inverseMatrix2.

R Program

matrix2 <- matrix(c(1, 2, 3, 0, 1, 4, 5, 6, 0), nrow = 3)
inverseMatrix2 <- solve(matrix2)
print(inverseMatrix2)

Output

     [,1] [,2] [,3]
[1,] -24   20   -5
[2,]   5   -4    1
[3,]   4   -3    1

3 Find Inverse of a 2x2 Identity Matrix

In this example,

  1. First, we create a 2x2 identity matrix named matrix3 using the diag() function with a value of 2.
  2. To find the inverse of the matrix, we use the solve() function on matrix3 and store the result in a variable called inverseMatrix3.
  3. The solve() function computes the inverse of the matrix if it exists.
  4. Finally, we use the print() function to display the inverse matrix stored in inverseMatrix3.

R Program

matrix3 <- diag(2)
inverseMatrix3 <- solve(matrix3)
print(inverseMatrix3)

Output

     [,1] [,2]
[1,]    1    0
[2,]    0    1

Summary

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


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