Definition:Elementary Operation/Column

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

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

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

Also see

 * Definition:Column Equivalence
 * Definition:Elementary Matrix for Column Operation


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