Answer:
An augmented matrix refers to a matrix formed by appending the columns of two matrices.
The perfect example to show this is a linear systems of equations, because there we have a matrix formed by the coeffcients of the variables only, and we have a second matrix formed by the constant terms of the system.
If we have the system

The two maxtrix involved here are
![\left[\begin{array}{ccc}2&3\\1&-4\end{array}\right] \\\left[\begin{array}{ccc}5\\9\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%263%5C%5C1%26-4%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%5C%5C9%5Cend%7Barray%7D%5Cright%5D)
However, to solve the system using matrices, we have to formed an augmented matrix
![\left[\begin{array}{ccc}2&3&5\\1&-4&9\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%263%265%5C%5C1%26-4%269%5Cend%7Barray%7D%5Cright%5D)
So, as we defined it at the beginning, an augmented matrix is the appending of colums from two matrices to form one.