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]

% r3 c7 l9 F& h- Q( B- h2 h. I5 ?# S7 K
Yg2=[0.972678496874197 - 2.19149951986028i
0.247515468245944 + 0.721616638839712i
0.289597088366804 + 1.08389127598852i;
' N- o6 M' h, X* k% T0.247515468245944 + 0.721616638839712i
0.270106378209774 - 1.95560247734671i
, }7 Q7 @% m) j9 S  z0.196726501279043 + 1.22862731973151i;
0.289597088366804 + 1.08389127598852i
* V8 s" ?* f5 S# O5 U! B0.196726501279043 + 1.22862731973151i
0.163424123781682 - 2.34585747664809i];
+ ~5 V) V8 @5 D$ T7 q' Z" }5 W
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* \) P2 {* I6 ~0 m4 ][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

, x2 |4 \  l( [4 V
5 E/ e6 ~4 t% K) @* @$ r    这个matlab help里面写的非常清楚，你help一下就知道了