1.
Let A=(23a0)A = \begin{pmatrix} 2 & 3 \\ a & 0 \end{pmatrix}, aRa \in \mathbb{R}, be written as P+QP + Q, where PP is a symmetric matrix and QQ is a skew-symmetric matrix. If det(Q)=9\det(Q) = 9, then the modulus of the sum of all possible values of det(P)\det(P) is equal to: