# Row and column transformations

#### rsi

##### New member
I am stuck on this problem and keep going in a cycle coming back to the same state and would like to get hints on how to proceed. $$A$$ is a $$R^{m*n}$$ matrix and $$B$$ is a $$R^{n*p}$$ matrix. $$I_{n}$$ is the $$n*n$$ identity matrix.

Use elementary row and column operations to transform $\begin{bmatrix} I_{n} & 0 \\ 0 & AB \end{bmatrix}$ to $\begin{bmatrix} B & I_{n} \\ 0 & A \end{bmatrix}$.