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Matrices and Determinants question

2012 · Shift 1 · Q37
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  2. /JEE Advanced
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  4. /Matrices and Determinants
  5. /2012 · Shift 1 · Q37

Matrices and Determinants question

2012 · Shift 1 · Q37

JEE AdvancedMathematicsMatrices and DeterminantsMCQ+3 / −1
Let P=[aij]P = [{a_{ij}}]P=[aij​] be a 3 ×\times× 3 matrix and let Q=[bij]Q = [{b_{ij}}]Q=[bij​], where bij=2i+jaij{b_{ij}} = {2^{i + j}}{a_{ij}}bij​=2i+jaij​ for 1≤i,j≤31 \le i,j \le 31≤i,j≤3. If the determinant of P is 2, then the determinant of the matrix Q is
  1. A
    210
  2. B
    211
  3. C
    212
  4. D
    213
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