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]


* Y/ k# `, }5 g5 y; C% f# iYg2=[0.972678496874197 - 2.19149951986028i
- ?" k; s" k' n( r0.247515468245944 + 0.721616638839712i
0.289597088366804 + 1.08389127598852i;
$ L5 g3 s% B* H0.247515468245944 + 0.721616638839712i
% A; \9 @( |7 r+ _; T0.270106378209774 - 1.95560247734671i
/ [: E4 }" y. W1 c0.196726501279043 + 1.22862731973151i;
6 H5 c' d- T# s, H# e- O0.289597088366804 + 1.08389127598852i
' ]$ G$ V0 B2 z0 F8 F$ M& E% C0.196726501279043 + 1.22862731973151i
: R6 r, [+ |  U% P# u0.163424123781682 - 2.34585747664809i];
. H, N7 |3 i9 D3 _- b' e2 @

[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
0 n8 V3 ^9 f' k" _" A4 s/ M: Y

    这个matlab help里面写的非常清楚，你help一下就知道了