## Precalculus (6th Edition) Blitzer

One of the row operations to reduce the matrix is that a scalar multiple of any row can be added to a row. Therefore, the row operation $k{{R}_{i}}+{{R}_{j}}$ indicates that the elements in row j will change. Hence, the provided statement is false and the correct statement is: “The row operation $k{{R}_{i}}+{{R}_{j}}$ indicates that it is the elements in row j that change”.