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Matrices And Determinants

JEE Main 2022 (Online) 30th June Morning Shift

MCQ+4 / -12022

Let \(A = \left[ {\matrix{ 1 & { - 2} & \alpha \cr \alpha & 2 & { - 1} \cr } } \right]\) and \(B = \left[ {\matrix{ 2 & \alpha \cr { - 1} & 2 \cr 4 & { - 5} \cr } } \right],\,\alpha \in C\). Then the absolute value of the sum of all values of \(\alpha\) for which det(AB) = 0 is :

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