Find inverse, by elementary row operations (if possible) , of both following matrices. (i) ` [{:(1,3),(-5,7):}]` (ii) `[{:(1,3),(-2,6):}]`

Explanation

To find the inverse of the given matrices using elementary row operations, we will follow these steps for each matrix.

### (i) For the matrix A = \(\begin{pmatrix} 1 & 3 \\ -5 & 7 \end{pmatrix}\)

1. **Set up the augmented matrix**:
\[
\left( \begin{array}{cc|cc}
1 & 3 & 1 & 0 \\
...