Finding an Inverse by Row Reducing A Next to I Worksheet with Answer Key

What's on the worksheet

1. Each matrix below is meant to be an elementary matrix.
2. Let A = \begin{bmatrix} 1 & -2 & 2 \\ -1 & 3 & 0 \\ -2 & 5 & -1 \end{bmatrix}.
3. Let A = \begin{bmatrix} 0 & 1 & 1 & 0 \\ 1 & 2 & 0 & 1 \\ 1 & 2 & 1 & 1 \\ 0 & 1 & 1 & 1 \end{bmatrix}.
4. Let k be a real number and A = \begin{bmatrix} 1 & 1 & k \\ 1 & k & 1 \\ k & 1 & 1 \end{bmatrix}.
5. Let A = \begin{bmatrix} 0 & 2 & 0 \\ 1 & 0 & 2 \\ 3 & 0 & 7 \end{bmatrix}.
6. Maya sells packets of used postage stamps to collectors and fills custom orders with whole packets.
7. Let A be an invertible n × n matrix, E an n × n elementary matrix, and B = EA, which is A with one row operation done to it.