If A=\left[\begin{array}{cc}1 & 2 \ -2 & -5]\end{array} and \alpha A^2+\beta A=2 I for some \alpha, \beta \in \mathbb{R} then \alpha+\beta= [AP EAPCET 19 May 2024 Shift 2]

Matrices and Determinants

Section: Mathematics

Question : 43 of 48

Marks: +1, -0

If A=[

1	2
−2	−5

] and αA2+βA=2I for some α,β∈ℝ then α+β=

[AP EAPCET 19 May 2024 Shift 2]

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