Linear Equation

A linear equation in $n$ variables is an equation of the form $a_1{x}_1+a_2{x}_2+\cdots +a_n{x}_n=b$ where

• $x_1,...,x_n\in \mathbb{R}$ are the variables (unknowns)
• $a_1,\dots ,a_n\in \mathbb{R}$ are coefficients
• $b\in \mathbb{R}$ is the constant term

To solve systems of linear equations, we use Matrix.

Next, see Homogeneous Linear Equation.