求特征值和全部特征向量
问题描述：
求特征值和全部特征向量
-1 1 0
A=-4 3 0
1 0 2
答
f(λ)=（λ-1)(λ-1)(λ+1)
So λ=1 or -1
When λ=1:
Compute the equation system [E-A]X=O;
we get X=(-1,-2,1)'
so the eigenvector belonging to λ=1 is
ζ1=-ε1-2ε2+ε3
When λ=-1
Compute the equation system [-E-A]X=O
we get X=(1,1,1)'
So the eigenvector belonging to λ=-1 is
ζ2=ε1-ε2+ε3