Respuesta :

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.