Answer
$\begin{bmatrix} 1 & 1 \\ 3 & 4 \end{bmatrix}$
Work Step by Step
The general form of a matrix of order $ 2 \times 2$ is: $Det \ A \begin{bmatrix} p & q \\ r & s\end{bmatrix}=ps-qr$
Write the augmented matrix with identity matrix.
$\begin{bmatrix}1 & -1/4 \\ 0 & 1/4 \end{bmatrix} $
Now, add row $2$ to row $1$, then multiply row $2$ by $4$.
$\begin{bmatrix} 1 & 1 \\ 3 & 4 \end{bmatrix}$
Our answer is: $\begin{bmatrix} 1 & 1 \\ 3 & 4 \end{bmatrix}$
