Using elementary transformations, find the inverse of the matrix`[[6,-3],[-2, 1]]`

Explanation

To find the inverse of the matrix \( A = \begin{bmatrix} 6 & -3 \\ -2 & 1 \end{bmatrix} \) using elementary transformations, we will follow these steps:

### Step 1: Write the Augmented Matrix
We start by writing the augmented matrix \([A | I]\), where \(I\) is the identity matrix of the same order as \(A\).

\[ \begin{bmatrix} 6 & -3 & | & 1 & 0 \\ -2 & 1 & | & 0 & 1 \end{bmatrix} \]
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