There are three types of elementary row operations:
- Row Switching
- A row within the matrix can be switched with another row.
- Row Multiplication (Row Scaling)
- Each element in a row can be multiplied by a non-zero constant.
- , where
- Row Addition
- A row can be replaced by the sum of that row and an another row.
- , where
Examples
Given the starting matrix:
| Operation Type |
Operation |
Augmented Matrix |
| Row Switchig |
|
|
| Row Multiplication |
|
|
| Row Addition |
|
|