0.534 (a)将A=010对角化使得A=SAS-1. (b)求 lim a' (c)设当k→∞时,B→I(②阶单位阵)。用特征值和 Jordan型J= 证明B=I。1.(30 ✏) (a) ✑ A =    0.5 3 4 0 1 0 0 0 1    ✒✔✓✖✕✠✗✠✘ A = SΛS −1 ✙ (b) ✚ lim k→∞ A k (c) ✛✔✜ k → ∞ ✢✠✣ Bk → I(2 ✤✠✥✠✦✔✧) " ✙✩★✠✪✠✫✠✬✠✭ Jordan ✮ J = 1 1 0 1 # ✯✔✰ B = I ✙ 2