JEE Main 20266 Apr, Morning shiftMathematicsMediumMatrices and Determinants245× since 2002Let A=[−11−1101001]A=\begin{bmatrix}-1&1&-1\\1&0&1\\0&0&1\end{bmatrix}A=−110100−111 satisfy A2+α(adj(adj(A)))+β(adj(A)(adj(adj(A))))=[2−22−20−100−1]A^2+\alpha(\mathrm{adj}(\mathrm{adj}(A)))+\beta(\mathrm{adj}(A)(\mathrm{adj}(\mathrm{adj}(A))))=\begin{bmatrix}2&-2&2\\-2&0&-1\\0&0&-1\end{bmatrix}A2+α(adj(adj(A)))+β(adj(A)(adj(adj(A))))=2−20−2002−1−1 for some α,β∈R\alpha,\beta\in\mathbb{R}α,β∈R. Then (α−β)2(\alpha-\beta)^2(α−β)2 is equal to ________Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution
