Final answer:
The Gauss Elimination method allows elementary row operations including scaling a row by a non-zero number and adding a scaled row to another. The allowed operation from the given options is '2R₁+R₂→R₂' which encompasses these permitted actions.
Step-by-step explanation:
The question pertains to the Gauss Elimination method which is used for solving systems of linear equations. In this method, the following elementary row operations are allowed:
- Swapping two rows.
- Multiplying a row by a non-zero number.
- Adding a multiple of one row to another row.
Among the options provided, the following operation is allowed:
2R₁+R₂→R₂, meaning 'add twice the first row to the second row and store the result in the second row.' This combines operations of multiplying a row by a number (2 in this case) and adding one row to another, both of which are permitted in Gauss Elimination.