A logistics manager is using an augmented matrix to model a system of delivery constraints. If the manager performs the row operation $R_1 \leftrightarrow R_2$, which of the following describes the equivalent action in the original system of equations?

When an inventory manager interchanges two rows (for example, swapping $R_1$ and $R_2$) in a matrix used to model warehouse supply equations, this action changes the final calculated solution to the system.

A logistics manager is using a matrix to model delivery constraints for different regions. To better organize the data, the manager decides to interchange the first and second rows of the matrix. Match each term related to this foundational row operation with its corresponding description.

Identifying and Understanding Row Interchanges

A warehouse manager is using a matrix to represent the costs of shipping to different regional centers. To reorganize the data alphabetically, the manager swaps the entire second row with the third row. In matrix algebra, this foundational row operation is formally called ____ matrix rows.