Let A=(\table 4 , -2 ; \alpha , \beta). If {\A}^2+\gamma {\A}+18 {\I}= {\O}, then {\det}( {\A}) is equal to ________. [27-Jul-2022-Shift-2]

JEE Mains 27-July-2022 Shift 2 Solved Paper

Section: Mathematics

Question : 4 of 90

Marks: +1, -0

Let A=(

4	−2
α	β

).
If A2+γA+18I=O, then det(A) is equal to ________.

[27-Jul-2022-Shift-2]

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4−λ	−2
α	β−λ