求最大特征值和特征向量A=[10.210.2;5155;10.211;50.211]A=[155;0.211;0.211]A=[133;1/311;1/311]A=[1135;1135;1/31/313;0.20.21/31]

Question

求最大特征值和特征向量 A=[1 0.2 1 0.2; 5 1 5 5;1 0.2 1 1;5 0.2 1 1]
A=[1 5 5;0.2 1 1;0.2 1 1 ]
A=[1 3 3;1/3 1 1; 1/3 1 1]
A=[1 1 3 5;1 1 3 5 ;1/3 1/3 1 3 ;0.2 0.2 1/3 1 ]

Answer 1

1.
>> [d,v]=eig(A)
d =
0.9623 -0.9561 0.9785
0.1925 -0.0882 -0.2058
0.1925 0.2795 0.0101
v =
3.0000 0 0
0 0.0000 0
0 0 -0.0000
2.
d =
-0.9045 0.8424 0.8424
-0.3015 -0.4946 0.2138
-0.3015 0.2138 -0.4946
v =
3.0000 0 0
0 -0.0000 0
0 0 0.0000
3.
d =
-0.6768 0.6266 0.6266 0.7071
-0.6768 0.6266 - 0.0000i 0.6266 + 0.0000i -0.7071
-0.2645 -0.2567 + 0.3405i -0.2567 - 0.3405i -0.0000
-0.1179 -0.0993 - 0.1518i -0.0993 + 0.1518i 0.0000
v =
4.0435 0 0 0
0 -0.0217 + 0.4188i 0 0
0 0 -0.0217 - 0.4188i 0
0 0 0 -0.0000