If

*A*and*B*are two matrices with the same dimensions,*A*is said to be row equivalent to*B*if*B*can be found from*A*by a finite sequence of basic operations on the rows of*A*.### Example

The matrices A = \(\begin{pmatrix}6 & 3 & 5\\4 & –2 & 1\end{pmatrix}\) and B =\(\begin{pmatrix}4 & 1 & 3\\2 & –4 & –1\end{pmatrix}\) are row equivalent because matrix *B* was found by subtracting 2 from each element in matrix *A*.