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:
[tex]\begin{gathered} \begin{bmatrix}{4} & {8} & {} \\ {7} & {14} & \\ {} & {} & {}\end{bmatrix}=(14\times4)-(8\times7) \\ =56-56 \\ =0 \end{gathered}[/tex]The determinant of the given matrix is zero
So, their inverse has not been defined.
Hence, the correct option is A.