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:

Solved Example on Augmented Matrix

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

Solution:

Step 1:

  

Step 2: Multiplying the two matrices

Step 3: By the definition of equal matrices

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

         

Related Terms for Augmented Matrix

  • Matrix
  • Coefficient Matrix
  • Constant Term