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in Matrices & determinants by (17 points)
Let \( A =\left[\begin{array}{rrr}1 & -2 & \alpha \\ \alpha & 2 & -1\end{array}\right] \) and \( B =\left[\begin{array}{rr}2 & \alpha \\ -1 & 2 \\ 4 & -5\end{array}\right], \alpha \in C \). Then the absolute value of the sum of all values of \( \alpha \) for which \( \operatorname{det}(A B)=0 \) is : 

(A) 3 

(B) 4 

(C) 2 

(D) 5

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