MathematicsHard244×since 2002Q4484Let A\mathrm{A}A be a 2×22 \times 22×2 matrix with real entries such that A′=αA+I\mathrm{A}'=\alpha \mathrm{A}+\mathrm{I}A′=αA+I, where α∈R−{−1,1}\alpha \in \mathbb{R}-\{-1,1\}α∈R−{−1,1}. If det(A2−A)=4\operatorname{det}\left(A^{2}-A\right)=4det(A2−A)=4, then the sum of all possible values of α\alphaα is equal to :A2B32\frac{3}{2}23C0D52\frac{5}{2}25Check answerSkip