可逆矩阵求特征值，其特征值矩阵得到的为嘛不正交啦？？？

小周周

两个矩阵，分别求特征值和特征矩阵，按理说特征矩阵应该是正交的，满足T的转置等于T的逆，但是我求出来的却不是！求问原因。Yg=[0.302794262821957 - 3.79296757057053i,0.00000000000000 + 0.00000000000000i,0.0874945715832985 + 0.641221324267202i;0.00000000000000 + 0.00000000000000i,0.00000000000000 - 5.48550000000000i,0.00000000000000 + 0.00000000000000i;0.0874945715832984 + 0.641221324267202i,0.00000000000000 + 0.00000000000000i,170.000000000000 + 0.00000000000000i]

2 ?! p' `" \/ A
( F* g) _9 d4 E4 [  B- S) tYg2=[0.972678496874197 - 2.19149951986028i
) ]( `$ ]" `7 s8 I3 x& G0.247515468245944 + 0.721616638839712i
* {9 Z9 m( ~8 Q+ q1 T' q/ B$ t& o4 R) |0.289597088366804 + 1.08389127598852i;
0.247515468245944 + 0.721616638839712i
0.270106378209774 - 1.95560247734671i
& t7 p& N2 D- z7 L  F. n0.196726501279043 + 1.22862731973151i;
0.289597088366804 + 1.08389127598852i
1 D) h, a8 @1 P0.196726501279043 + 1.22862731973151i
0.163424123781682 - 2.34585747664809i];

! g! p% B9 R; F
[T1,X1]=eig(Yg);[T2,X2]=eig(Yg2);
T1*T1'不等于E，应该不是正交矩阵啦？

小周周

已经知道原因了。复矩阵的正交要取hermite 就是要让虚部取个负号再转置

cxxgtxy

回复 2# 小周周


2 G- M7 D% Q' z3 J9 h" x; a    这个matlab help里面写的非常清楚，你help一下就知道了