blob: baa88c9205f19a2c5514c468316f9f8c2bc4628d (
plain) (
blame)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
|
diary off
diary off
A=[4 -3; -7 8]
A =
4 -3
-7 8
[P,D]=eig(A)
P =
-0.7071 0.3939
-0.7071 -0.9191
D =
1 0
0 11
c=inv(P)*[10;-5]
c =
-7.7782
11.4237
R=[c(1) 0 0; 0 c(2) 0], E=P*R
R =
-7.7782 0 0
0 11.4237 0
E =
5.5000 4.5000 0
5.5000 -10.5000 0
R=[c(1) 0; 0 c(2)], E=P*R
R =
-7.7782 0
0 11.4237
E =
5.5000 4.5000
5.5000 -10.5000
A=[12 -7 4;6 -1 1;-12 12 -7];
[P,D]=eig(A)
P =
0.2024 0.7071 0.2617
-0.1215 0.7071 0.7328
-0.9717 0.0000 0.6281
D =
-3.0000 0 0
0 5.0000 0
0 0 2.0000
c= inv(P)*[10;20;25]
c =
-21.6109
17.9723
6.3683
c= inv(P)*[-10;20;25]
c =
27.7855
-52.7384
82.7882
R=[c(1) 0 0; 0 c(2) 0; 0 0 c(3)], E=P*R
R =
27.7855 0 0
0 -52.7384 0
0 0 82.7882
E =
5.6250 -37.2917 21.6667
-3.3750 -37.2917 60.6667
-27.0000 -0.0000 52.0000
clear
A=[0 0 1 0; 0 0 0 1; 25 18 0 0; 12 40 0 0];
[P,D]=eig(A)
P =
0.0849 0.2169 0.0849 0.2169
0.1131 -0.1085 0.1131 -0.1085
0.5940 0.8677 -0.5940 -0.8677
0.7920 -0.4339 -0.7920 0.4339
D =
7.0000 0 0 0
0 4.0000 0 0
0 0 -7.0000 0
0 0 0 -4.0000
c= inv(P)*[23;16;69;0]
c =
104.2294
47.3549
72.5473
-10.4768
R=[c(1) 0 0 0; 0 c(2) 0 0; 0 0 c(3) 0; 0 0 0 c(4)], E=P*R
R =
104.2294 0 0 0
0 47.3549 0 0
0 0 72.5473 0
0 0 0 -10.4768
E =
8.8442 10.2727 6.1558 -2.2727
11.7922 -5.1364 8.2078 1.1364
61.9091 41.0909 -43.0909 9.0909
82.5455 -20.5455 -57.4545 -4.5455
diary of
|