Let A=(\table 1 , 2 ; -2 , -5). Let \alpha, \beta \in \mathbb{R} be such that \alpha A^2+\beta A=2 I. Then \alpha+\beta is equal to [27-Jul-2022-Shift-1]

JEE Mains 27-July-2022 Shift 1 Solved Paper

Section: Mathematics

Question : 4 of 90

Marks: +1, -0

Let A=(

1	2
−2	−5

). Let α,β∈ℝ be such that αA2+βA=2I. Then α+β is equal to

[27-Jul-2022-Shift-1]

Go to Question:

Prev Question

Next Question

−3α	−8α
8α	21α

β	2β
−2β	−5β

−3α+β	−8α+2β
8α−2β	21α−5β

−3	−8
8	21