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

Question

$(a)\;2^{10}\qquad(b)\;2^{11}\qquad(c)\;2^{12}\qquad(d)\;2^{13}$