Using elementary row transformations, find the inverse of each of the following matrices:

Question:

Using elementary row transformations, find the inverse of each of the following matrices:

$\left[\begin{array}{ccc}2 & -3 & 3 \\ 2 & 2 & 3 \\ 3 & -2 & 2\end{array}\right]$

Solution:

Let, $A=\left[\begin{array}{ccc}2 & -3 & 3 \\ 2 & 2 & 3 \\ 3 & -2 & 2\end{array}\right]$

Now we are going to write the Augmented Matrix followed by matrix A and the Identity matrix I, i.e.,