MathematicsMedium244×since 2002Q4508Let 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, thenAα=1\alpha=1α=1Bα=4\alpha=4α=4Cβ=8\beta=8β=8Dβ=−8\beta=-8β=−8Check answerSkip