Definition:Column Operation

Definition

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

A column operation on $\mathbf A$ is a sequence of elementary column operations performed on $\mathbf A$ in turn.

Also see

• Definition:Column Equivalence
• Definition:Elementary Column Operation

• Definition:Row Operation
• Definition:Elementary Row Operation

• Results about column operations can be found here.

Sources

• 1998: Richard Kaye and Robert Wilson: Linear Algebra ... (previous) ... (next): Part $\text I$: Matrices and vector spaces: $1$ Matrices: $1.5$ Row and column operations