Answer
The provided statement is false.
Work Step by Step
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”.
