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 = 2
B. 8x + y = 2, 6x - y = - 2
C. 8x - y = - 2, 6x + y = - 2
D. 8x - y = 2, 6x + y = - 2
Correct Answer: D
Step 2: Multiplying the two matrices
Step 3: By the definition of equal matrices 8x - y = 2, 6x + y = - 2