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]


. ?4 n) S( K, O* jYg2=[0.972678496874197 - 2.19149951986028i
0.247515468245944 + 0.721616638839712i
4 S, c$ j$ j7 B, i0.289597088366804 + 1.08389127598852i;
0.247515468245944 + 0.721616638839712i
0.270106378209774 - 1.95560247734671i
0.196726501279043 + 1.22862731973151i;
' I$ p: y8 a# g$ q0.289597088366804 + 1.08389127598852i
+ ^3 e, J( k8 z/ m8 W0.196726501279043 + 1.22862731973151i
0.163424123781682 - 2.34585747664809i];
" Q. H# i1 F4 l; \/ w
: H& ]4 j$ @5 e5 c4 l' x3 z! [
: x3 G' u) a4 ]6 W  E9 |[T1,X1]=eig(Yg);[T2,X2]=eig(Yg2);
$ R' [, B9 W: m0 t) }) ZT1*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

5 V8 [9 i: Z: _" k8 C8 ]1 Q
    这个matlab help里面写的非常清楚，你help一下就知道了