Let A = [[2,3],[a,0]], a in R be written...

Let A = `[[2,3],[a,0]], 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 :

A

36

B

24

C

15

D

45

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The correct Answer is:

A

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