I want to find the eigenvectors of a matrix corresponding to imaginary eigenvalues.

Question

Anil 2023-9-19

0
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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/2022882-i-want-to-find-the-eigenvectors-of-a-matrix-corresponding-to-imaginary-eigenvalues

评论： Anil 2023-9-19

采纳的回答： Bruno Luong

在 MATLAB Online 中打开

Using

[V, D]=eig(A)

the eigenvectors V correspond to eigenvalues which could be real or complex. But I want to know if it's possible to find V correspoindg to imaginary eigenvalues only. Thanks.

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Answer 1

Bruno Luong 2023-9-19

1
链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/2022882-i-want-to-find-the-eigenvectors-of-a-matrix-corresponding-to-imaginary-eigenvalues#answer_1313177

在 MATLAB Online 中打开

Use imag function

A=rand(5);
[V,d]=eig(A,'vector');
iscmplx=imag(d)~=0
iscmplx = 5×1 logical array
   0
   0
   1
   1
   0
d=d(iscmplx)
d = 
   0.0216 + 0.2183i
   0.0216 - 0.2183i
V=V(:,iscmplx) % corresponding eigen vectors (in each column)
V = 
   0.2708 - 0.4562i   0.2708 + 0.4562i
  -0.5843 + 0.0000i  -0.5843 + 0.0000i
   0.0655 - 0.1415i   0.0655 + 0.1415i
   0.3705 - 0.0515i   0.3705 + 0.0515i
  -0.0052 + 0.4614i  -0.0052 - 0.4614i