Find the inverse of the matrix `[[2,-1],[ 3,4]]` .

Explanation

To find the inverse of the matrix \(\begin{pmatrix} 2 & -1 \\ 3 & 4 \end{pmatrix}\), we will follow these steps:

### Step 1: Calculate the Determinant of the Matrix
The determinant of a \(2 \times 2\) matrix \(\begin{pmatrix} a & b \\ c & d \end{pmatrix}\) is given by the formula:
\[ \text{det}(A) = ad - bc \]
For our matrix \(A = \begin{pmatrix} 2 & -1 \\ 3 & 4 \end{pmatrix}\):
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