Consider a 3×3 matrix A such that : - ⎣
⎡
​
1
1
1
​
⎦
⎤
​
is an eigenvector of A with ei − ⎣
⎡
​
−1
−1
1
​
⎦
⎤
​
is an eigenvector of A with −[ 1
1
​
] is an eigenvector of A with Let v=1 ⎣
⎡
​
1
1
1
​
⎦
⎤
​
+1 ⎣
⎡
​
−1
−1
1
​
⎦
⎤
​
+1 ⎣
⎡
​
−1
1
1
​
⎦
⎤
​
lim n→[infinity]
​
A n
v=[]