Definition:Elementary Operation/Row

Definition
Let $\mathbf A = \sqbrk a_{m n}$ be an $m \times n$ matrix over a field $K$.

The elementary row operations on $\mathbf A$ are operations which act upon the rows of $\mathbf A$ as follows.

For some $i, j \in \closedint 1 m: i \ne j$:

Also see

 * Definition:Row Equivalence
 * Definition:Row Operation
 * Definition:Elementary Row Matrix


 * Definition:Elementary Column Operation
 * Definition:Elementary Matrix Operation