Let $$A = [a_{ij}]$$ be a square matrix of order 3 such that $$a_{ij} = 2^{j-i}$$, for all $$i, j = 1, 2, 3$$. Then, the matrix $$A^2 + A^3 + \ldots + A^{10}$$ is equal to

A

$$\left(\frac{3^{10}-1}{2}\right)A$$

B

$$\left(\frac{3^{10}+1}{2}\right)A$$

C

$$\left(\frac{3^{10}+3}{2}\right)A$$

D

$$\left(\frac{3^{10}-3}{2}\right)A$$