How to Apply the solve() Function in R (3 Examples)

In this R programming tutorial you’ll learn how to apply the solve() function to solve a system of equations.

Example 1: Applying solve() Function in R (Basics)

```solve(2, 7) # Using solve # 3.5```

Example 2: Solving System of Equations

```my_matrix_ex2_a <- matrix(c(15, 3, # Left matrix 8, 4), nrow = 2) my_matrix_ex2_a # Returning matrix to console # [,1] [,2] # [1,] 15 8 # [2,] 3 4```
```my_matrix_ex2_b <- matrix(c(22, # Right matrix 6), nrow = 2) my_matrix_ex2_b # Returning matrix to console # [,1] # [1,] 22 # [2,] 6```
```solve(my_matrix_ex2_a, my_matrix_ex2_b) # Using solve # [,1] # [1,] 1.1111111 # [2,] 0.6666667```

Example 3: Returning Inverse of Matrix Using solve Function

```set.seed(8654921) # Randomly create matrix my_matrix_ex3 <- matrix(runif(16), nrow = 4) my_matrix_ex3 # Returning matrix to console # [,1] [,2] [,3] [,4] # [1,] 0.1733941 0.8762532 0.38141699 0.4757218 # [2,] 0.6210905 0.2313376 0.90522556 0.7481271 # [3,] 0.2154532 0.3784298 0.49347240 0.0364312 # [4,] 0.1197730 0.7645092 0.04701281 0.3200175```
```solve(my_matrix_ex3) # Using solve # [,1] [,2] [,3] [,4] # [1,] -7.34470797 1.6138486 2.0580393 6.911174 # [2,] -0.04432789 -0.4827015 0.8147823 1.101585 # [3,] 3.06320317 -0.3790991 0.7113516 -3.748337 # [4,] 2.40479585 0.6048320 -2.8212478 -1.542802```