Identify the elementary row operation being performed to obtain the new row-equivalent matrix. 
Definitions:
Methodical
The term 'methodical' describes a systematic, orderly approach to tasks or activities, often emphasizing careful planning and organization.
Social Proof
The concept that people will conform to the actions of others under the assumption that those actions are reflective of the correct behavior.
Disagreement Signals
Indicative expressions or actions showing a difference of opinion or opposition in a discussion or negotiation.
Localized Infections
Infections confined to a specific body part or region, not spreading to other parts of the body, typically caused by bacteria, viruses, or fungi.
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