Finding Inverse of a Matrix in R Programming – inv() Function

inv() function in R Language is used to calculate inverse of a matrix.

Note: Determinant of the matrix must not be zero

Syntax: inv(x)

Parameters:
x: Matrix

Example 1:

# R program to calculate
# inverse of a matrix

# Loading library
library(matlib)

# Create 3 different vectors.
a1 <- c(3, 2, 8)
a2 <- c(6, 3, 2)
a3 <- c(5, 2, 4)

# Bind the 3 matrices row-wise
# using the rbind() function.
A <- rbind(a1, a2, a3)

# find inverse using the inv() function.
print(inv(A))

Output:

           [, 1]       [, 2]       [, 3]
[1, ] -0.2857143 -0.2857143  0.7142857
[2, ]  0.5000000  1.0000000 -1.5000000
[3, ]  0.1071429 -0.1428571  0.1071429

Example 2:

# R program to calculate
# inverse of a matrix

# Loading Library
library(matlib)

# Creating a matrix
A = matrix(c(2, 5, 3, 4, 5, 2, 6, 3, 4), 3, 3)

det(A)

# Calling inv() function
cat("Inverse of A:\n")
inv(A)

Output:

[1] -46
Inverse of A:
           [, 1]        [, 2]       [, 3]
[1, ] -0.3043478  0.08695652  0.3913044
[2, ]  0.2391304  0.21739130 -0.5217391
[3, ]  0.1086957 -0.17391304  0.2173913