JEE Main 202329 Jan, Morning shiftMathematicsMediumMatrices and Determinants245× since 2002Let α\alphaα and β\betaβ be real numbers. Consider a 3 ×\times× 3 matrix A such that A2=3A+αIA^2=3A+\alpha IA2=3A+αI. If A4=21A+βIA^4=21A+\beta IA4=21A+βI, thenAOption A. α=1\alpha=1α=1BOption B. α=4\alpha=4α=4COption C. β=8\beta=8β=8DOption D. β=−8\beta=-8β=−8CheckSkip · show solution
