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Question
Let $$A = \left[ {\matrix{ 2 & 3 \cr a & 0 \cr } } \right]$, a$\in$$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 :
36
24
45
18

Solution

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