Definition:Column Equivalence

Definition

Two matrices $\mathbf A = \sqbrk a_{m n}, \mathbf B = \sqbrk b_{m n}$ are column equivalent if one can be obtained from the other by a finite sequence of elementary column operations.

This relationship can be denoted $\mathbf A \sim \mathbf B$.

Also see

• Column Equivalence is Equivalence Relation

• Definition:Matrix Similarity

• Definition:Row Equivalence

• Results about column equivalence can be found here.