Let $$A = \begin{bmatrix} 1 & 2 \\ 0 & 1 \end{bmatrix}$$ and $$B = I + \text{adj}(A) + (\text{adj } A)^2 + \ldots + (\text{adj } A)^{10}$$. Then, the sum of all the elements of the matrix $$B$$ is:

A

$$-124$$

B

$$22$$

C

$$-88$$

D

$$-110$$