Let {A}=[\table 1 ,2 ;-1 , 4 ] . If {A}^{-1}=\\alpha{I}+\\beta {A}, \\alpha, \\beta \in {R}, {I} is a 2 \\times2 identity matrix, then 4(\\alpha-\\beta) is equal to : [27 Jul 2021 Shift 1]

JEE Main 27 July 2021 Shift 1 Solved Paper

Section: Mathematics

Question : 71 of 90

Marks: +1, -0

Let A=[

1	2
−1	4

]. If A−1=αI+βA,α,β ∈R,I is a 2×2 identity matrix, then 4(α−β) is equal to :

[27 Jul 2021 Shift 1]

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4	−2
1	1

β	2β
−β	4β