Augmented Matrix
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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

3x  7y = 16
5x + 8y = 9
The augmented matrix for the given system of equations is:
Video Examples: Introduction to Augmented Matrices
Solved Example on Augmented Matrix
Ques: Which of the following represents the system of equations of the augmented matrix?
Choices:
A. 8x  y = 2, 6x + y = 2B. 8x + y = 2, 6x  y =  2
C. 8x  y =  2, 6x + y =  2
D. 8x  y = 2, 6x + y =  2
Correct Answer: D
Solution:

Step 1:
Step 2: Multiplying the two matrices
Step 3: By the definition of equal matrices 8x  y = 2, 6x + y =  2
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