Let A be a 2 \times 2 matrix with real entries such that A^{'}=\alpha A+I, where a \in \mathbb{R}-\{-1,1\}. If {\det} (A^2-A) =4, then the sum of all possible values of \alpha is equal to : [11-Apr-2023 shift 1]

JEE Mains 11-Apr-2023 Shift 1 Solved Paper

Section: Mathematics

Question : 6 of 90

Marks: +1, -0

Let A be a 2×2 matrix with real entries such that A′=αA+I, where a∈ℝ−{−1,1}. If det(A2−A)=4, then the sum of all possible values of α is equal to :

[11-Apr-2023 shift 1]

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