Let A=(rr4 -2 α β). If A²+γ A+18 I=O, then det(A) is equal to _ _ _ _ _ _ _.

Matrices and Determinants: JEE Main 2022 Mathematics question

JEE Main 2022 · 27 Jul, Evening shift · Q4535

JEE Main 202227 Jul, Evening shiftMathematicsEasyMatrices and Determinants245× since 2002

Let

A=\left(\begin{array}{rr}4 & -2 \\ \alpha & \beta\end{array}\right)

. If

\mathrm{A}^{2}+\gamma \mathrm{A}+18 \mathrm{I}=\mathrm{O}

, then

\operatorname{det}(\mathrm{A})

is equal to _____________.

JEE Main 2022 · 27 Jul, Evening shift · Q4535

JEE Main 202227 Jul, Evening shiftMathematicsEasyMatrices and Determinants245× since 2002

Let

A=\left(\begin{array}{rr}4 & -2 \\ \alpha & \beta\end{array}\right)

. If

\mathrm{A}^{2}+\gamma \mathrm{A}+18 \mathrm{I}=\mathrm{O}

, then

\operatorname{det}(\mathrm{A})

is equal to _____________.