(Solved): Find the inverse of the given matrix, if it exists. Use the algorithm for finding A1 by row red ...

Find the inverse of the given matrix, if it exists. Use the algorithm for finding $${\mathrm{A}}^{?1}$$ by row reducing $$[\mathrm{AI}]$$. $$A=\left[\begin{array}{rrr}1& 0& ?4\\ 2& 1& 4\\ ?3& ?2& 4\end{array}\right]$$ Set up the matrix [A I]. $$[\mathrm{AI}]=$$ (Type an integer or simplified fraction for each matrix element.) Find the inverse. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The inverse matrix is $${\mathrm{A}}^{?1}=$$ (Type an integer or simplified fraction for each matrix element.) B. The matrix A does not have an inverse.