JEE Math Practice Question

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 A2 + A3 + ...... + A10 is equal to :

1. A.$$\left( {{{{3^{10}} - 3} \over 2}} \right)A$$
2. B.$$\left( {{{{3^{10}} - 1} \over 2}} \right)A$$
3. C.$$\left( {{{{3^{10}} + 1} \over 2}} \right)A$$
4. D.$$\left( {{{{3^{10}} + 3} \over 2}} \right)A$$