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 :[latex]\begin{cases}{x + 3y - 5 = 0} \\{3x + 2y + 8 = 7}\end{cases}[/latex]
is[latex]\left[\begin{array}{rrr|r} 1 & 3 &–5 & 0 \\ 3 & 2 & 8 & 7\end{array}\right][/latex].