1. **Problem statement:** Find the inverse of the matrix $$A = \begin{bmatrix} 2 & 1 & 3 \\ 3 & 0 & 1 \end{bmatrix}$$ 2. **Important note:** The inverse of a matrix exists only if the matrix is square and its determinant is non-zero. Here, matrix $A$ is a $2 \times 3$ matrix, which is not square. 3. Since $A$ is not a square matrix, it does not have an inverse in the usual sense. **Final answer:** The matrix $A$ does not have an inverse because it is not a square matrix.