Definition:Column Equivalence

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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

  • Results about column equivalence can be found here.