﻿ Definition and examples augmented matrix | define augmented matrix - geometry - Free Math Dictionary Online

# 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

#### 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

#### 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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