Welcome to our community

Be a part of something great, join today!

Row and column transformations

rsi

New member
Feb 4, 2021
1
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 \[ \begin{bmatrix} B & I_{n} \\ 0 & A \end{bmatrix} \].