How do i find eigen vector corresponding to imaginery eigen value

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Lokesh
Lokesh 2024-11-5，4:32
编辑： Walter Roberson 2024-11-5，5:07
[V, D] = eig(A)
The eigenvectors in V correspond to eigenvalues that can be real or complex. However, I am interested in finding the eigenvectors that correspond specifically to purely imaginary eigenvalues. Is there a way to achieve this?T

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Gayatri
Gayatri 2024-11-5，4:41
Ran in:
Hi Lokesh,
You can use 'imag' function to find the eigenvectors that correspond specifically to purely imaginary eigenvalues.
A = rand(5);
[V,D] = eig(A,'vector');
hasComplexPart = imag(D)~=0;
D = D(hasComplexPart)
D =
-0.3124 + 0.2799i -0.3124 - 0.2799i
V = V(:,hasComplexPart)
V =
-0.0928 + 0.4772i -0.0928 - 0.4772i -0.3821 - 0.1667i -0.3821 + 0.1667i 0.2583 + 0.0526i 0.2583 - 0.0526i 0.6583 + 0.0000i 0.6583 + 0.0000i -0.2326 - 0.1813i -0.2326 + 0.1813i
Please refer the below documentation for 'imag' function: https://www.mathworks.com/help/symbolic/sym.imag.html

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