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]


) h5 ^) O+ }2 r( X4 P8 UYg2=[0.972678496874197 - 2.19149951986028i
4 _; ]! S/ \+ a$ y; N/ D' M0.247515468245944 + 0.721616638839712i
+ q3 |! P! j7 M' m. A, u# m0.289597088366804 + 1.08389127598852i;
7 V5 o$ j' O  l; A( H$ Q+ e# I- G0.247515468245944 + 0.721616638839712i
0.270106378209774 - 1.95560247734671i
  M& ~  u3 U( k# Y, F0.196726501279043 + 1.22862731973151i;
0.289597088366804 + 1.08389127598852i
. c9 y  |4 s% P" C2 i% G0.196726501279043 + 1.22862731973151i
3 D  S1 e8 B  K/ u; D% ^0.163424123781682 - 2.34585747664809i];
& `8 f) d, q; L5 v1 j8 S

[T1,X1]=eig(Yg);[T2,X2]=eig(Yg2);
3 V( `5 E  |2 iT1*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


    这个matlab help里面写的非常清楚，你help一下就知道了