Let $$P = [a_{ij}]$$ be a $$3 \times 3$$ matrix and let $$Q = [b_{ij}]$$, where $$b_{ij} = 2^{i + j}a_{ij}$$ for $$1 \leq i, j \leq 3$$. If the determinant of P, is 2, then the determinant of the matrix Q is

A

$$2^{10}$$

B

$$2^{11}$$

C

$$2^{12}$$

D

$$2^{13}$$