**Definition of Augmented Matrix**

- Augmented matrix is a coefficient matrix that has an extra column containing the constant terms and this extra column is separated by a vertical line.

**Examples of Augmented Matrix**

3

x- 7y= 165

x+ 8y= 9The augmented matrix for the given system of equations is:

**Solved Example on Augmented Matrix**

Which of the following represents the system of equations of the augmented matrix?

Choices:A. 8

x-y= 2, 6x+y= 2B. 8

x+y= 2, 6x-y= - 2C. 8

x-y= - 2, 6x+y= - 2D. 8

x-y= 2, 6x+y= - 2Correct Answer: D

Solution:

Step 1:

Step 2:Multiplying the two matrices

Step 3:By the definition of equal matrices8

x-y= 2, 6x+y= - 2

**Related Terms for Augmented Matrix**

- Matrix
- Coefficient Matrix
- Constant Term