Inverse of $$$\left[\begin{array}{c}1\end{array}\right]$$$

Calculate $$$\left[\begin{array}{c}1\end{array}\right]^{-1}$$$ using the Gauss-Jordan elimination.

To find the inverse matrix, augment it with the identity matrix and perform row operations trying to make the identity matrix to the left. Then to the right will be the inverse matrix.

But the matrix to the left is already an identity matrix. This means that the inverse matrix is also an identity matrix.

The inverse matrix is $$$\left[\begin{array}{c}1\end{array}\right]$$$A.