8.12 Column Operator

Types: N/A
Examples: N/A
Constructions: 8.13 Column Partition of a Matrix
Generalizations: 8.11 Colon Notation

Properties: N/A
Sufficiencies: N/A
Questions: N/A

Column Operator

Let $A \in R^{m \times n}$ . Let $k \in [n]$ ( $k$ is an element of the set of columns). Then, we define the column operator

{Column}_{k} (A) = A (:, k) = {[\begin{matrix} a_{1 k} \\ a_{2 k} \\ ⋮ \\ a_{m k} \end{matrix}]}_{m \times 1}