JEE Main 202621 Jan, Morning shiftMathematicsMediumMatrices and Determinants245× since 2002For some α,β∈R\alpha,\beta\in\mathbb{R}α,β∈R, let A=[α212]A=\begin{bmatrix}\alpha&2\\1&2\end{bmatrix}A=[α122] and B=[111β]B=\begin{bmatrix}1&1\\1&\beta\end{bmatrix}B=[111β] be such that A2−4A+2I=B2−3B+I=OA^2-4A+2I=B^2-3B+I=OA2−4A+2I=B2−3B+I=O. Then (det(adj(A3−B3)))2(\det(\mathrm{adj}(A^3-B^3)))^2(det(adj(A3−B3)))2 is equal to ______.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution
