Find the inverse of the given matrix, if it exists.
\begin{bmatrix} 1 & -3 & 2 & 0 \\ 0 & 1 & -1 & 1 \\ -3 & 4 & -3 & 3 \\ 0 & 4 & -2 & 1 \end{bmatrix}
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
A. $A^{-1} = \Box$
(Type an integer or simplified fraction for each matrix element.)
B. The given matrix has no inverse.