# Solve Linear Algebraic Equation in R Programming – solve() Function

** solve()** function in R Language is used to solve linear algebraic equation. Here equation is like a*x = b, where b is a vector or matrix and x is a variable whose value is going to be calculated.

Syntax:solve(a, b)

Parameters:a:coefficients of the equationb:vector or matrix of the equation

**Example 1:**

`# R program to illustrate` `# solve function` ` ` `# Calling solve() function to` `# calculate value of x in` `# ax = b, where a and b is ` `# taken as the arguments` `solve(` `5` `, ` `10` `)` `solve(` `2` `, ` `6` `)` `solve(` `3` `, ` `12` `)` |

**Output:**

[1] 2 [1] 3 [1] 4

**Example 2:**

`# R program to illustrate` `# solve function` ` ` `# Create 3 different vectors ` `# using combine method. ` `a1 <` `-` `c(` `3` `, ` `2` `, ` `5` `) ` `a2 <` `-` `c(` `2` `, ` `3` `, ` `2` `) ` `a3 <` `-` `c(` `5` `, ` `2` `, ` `4` `) ` ` ` `# bind the three vectors into a matrix ` `# using rbind() which is basically ` `# row-wise binding` `A <` `-` `rbind(a1, a2, a3) ` ` ` `# print the original matrix ` `print` `(A) ` ` ` `# Use the solve() function ` `# to calculate the inverse` `T1 <` `-` `solve(A) ` ` ` `# print the inverse of the matrix` `print` `(T1) ` |

**Output:**

[, 1] [, 2] [, 3] a1 3 2 5 a2 2 3 2 a3 5 2 4 a1 a2 a3 [1, ] -0.29629630 -0.07407407 0.4074074 [2, ] -0.07407407 0.48148148 -0.1481481 [3, ] 0.40740741 -0.14814815 -0.1851852