Let A=[\table 1 , -2 , \alpha ; \alpha , 2 , -1] and B=[\table 2 , \alpha ; -1 , 2 ; 4 , -5], \alpha \in C. Then the absolute value of the sum of all values of \alpha for which {\det}( {\AB})=0 is : [30-Jun-2022-Shift-1]

Matrices and Determinants Part 3

Section: Mathematics

Question : 100 of 100

Marks: +1, -0

Let A=[

1	−2	α
α	2	−1

] and B=[

],α∈C. Then the absolute value of the sum of all values of α for which det(AB)=0 is :

[30-Jun-2022-Shift-1]

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4+4α	−4α−4
2α−6	α2+9

4+4α	−4α−4
2α−6	α2+9