线代强化NO19|矩阵的相似与相似对角化A(α1+α2, −α3, α2)=(Aα1+Aα2, −Aα3, Aα2)=(α1+α2, α3, α2)=(α1+α2, −α3, α2)(1000−10001) \begin{aligned} A(\alpha_1 + \alpha_2,\ -\alpha_3,\ \alpha_2) &= (A\alpha_1 + A\alpha_2,\ -A\alpha_3,\ A\alpha_2) \\ &= (\alpha_1 + \alpha_2,\ \alpha_3,\ \alpha_2) \\ &= (