From the given question
There are given that the matrix.
Now,
To find the inverse of any matrix, first find their determinant.
Then,
According to the properties of the matrix:
If the determinant of any matrix is zero, then their inverse has undefined.
So,
From the determinant of the given matrix:
![\begin{gathered} \begin{bmatrix}{4} & {8} & {} \\ {7} & {14} & \\ {} & {} & {}\end{bmatrix}=(14*4)-(8*7) \\ =56-56 \\ =0 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/km4hfi0vv15r89n1g4oy4nw8sp7e7piucl.png)
The determinant of the given matrix is zero
So, their inverse has not been defined.
Hence, the correct option is A.