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JEE Math Practice Question

Let $$A = \left[ {\begin{matrix} 2 & 3 \\ a & 0 \\ \end{matrix} } \right]$$, a$$\in$$R be written as P + Q where P is a symmetric matrix and Q is skew symmetric matrix. If det(Q) = 9, then the modulus of the sum of all possible values of determinant of P is equal to :

  1. A.36
  2. B.24
  3. C.45
  4. D.18

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