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Matrices and Determinants question

2022 · 30 Jun · Shift 1 · Q26

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JEE Main
Mathematics
Matrices and Determinants
2022 · 30 Jun · Shift 1 · Q26

Matrices and Determinants question

2022 · 30 Jun · Shift 1 · Q26

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

Let

A = \left[ {\begin{matrix} 1 & { - 2} & \alpha \\ \alpha & 2 & { - 1} \\ \end{matrix} } \right]

and

B = \left[ {\begin{matrix} 2 & \alpha \\ { - 1} & 2 \\ 4 & { - 5} \\ \end{matrix} } \right],\,\alpha \in C

. Then the absolute value of the sum of all values of

\alpha

for which det(AB) = 0 is :

A
3
B
4
C
2
D
5

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