Augmented Matrix

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:
    example of  Augmented Matrix

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?

    example of  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

Solution:

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