Augmented Matrix

Augmented Matrix

Matrix of the coefficients of a system of linear equations to which a column was added that corresponds to the constant terms of the equations.

Example

The augmented matrix of the following system of equations :

$$\begin{cases}{x + 3y – 5 = 0} \\{3x + 2y + 8 = 7}\end{cases}$$

is

$$\left[\begin{array}{rrr|r} 1 & 3 &–5 & 0 \\ 3 & 2 & 8 & 7\end{array}\right]$$.