So the definition of matrix rank is number of "linearly independent" rows or columns. However it seems like adding a scalar to a row to get to another row does not count as linear dependence? For example, we have two rows:
r1: [6, 3, 1]
r2: [7, 4, 2]
This has a rank of 2 as the two above are linearly independent, even though we could add 1 to r1 to get r2.
Is my understanding correct?