Definition:Row Equivalence

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

This relationship is sometimes denoted $\mathbf A \sim \mathbf B$.

Also see

 * Row Equivalence is Equivalence Relation
 * Matrix Similarity