A and B are matrices 2x2. Find the matrices sum A+B = (A^-1+B^-1)^T

$A= \begin{bmatrix} a && b \\ c && d \end{bmatrix} B= \begin{bmatrix} x && y \\ y && z \end{bmatrix}$

Find conditions for matrices sum A+B = (A^-1+B^-1)^T