JEE Main 20249 Apr, Evening shiftMathematicsMediumMatrices and Determinants245× since 2002Let B=[1315]B=\left[\begin{array}{ll}1 & 3 \\ 1 & 5\end{array}\right]B=[1135] and AAA be a 2×22 \times 22×2 matrix such that AB−1=A−1A B^{-1}=A^{-1}AB−1=A−1. If BCB−1=AB C B^{-1}=ABCB−1=A and C4+αC2+βI=OC^4+\alpha C^2+\beta I=OC4+αC2+βI=O, then 2β−α2 \beta-\alpha2β−α is equal toAOption A. 16BOption B. 10COption C. 8DOption D. 2CheckSkip · show solution
