# Equivalent Matrix

## Equivalent Matrix

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.