JEE Advanced 2012 Paper 1 Mathematics Q7

Mathematics

Problem

Let P=[aij]P=[a_{ij}] be a 3×33\times3 matrix and let Q=[bij]Q=[b_{ij}], where bij=2i+jaijb_{ij}=2^{i+j}a_{ij} for 1≤i,j≤31\le i,j\le3. If the determinant of PP is 2, then the determinant of the matrix QQ is

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