how to find eigenvalue and eigenvectors from Hermitian photo ??

hello i have some problems and i don't know how to solve it so if you know some thing please help me:) my problem is: i have the photo as you can see it and i want to find eigenvalue and eigenvectors as Hermitian so what is the code to find them ?? by the way i have another question, when i try to use

[V,D] = eig(A,B,flag)

and i used 'chol', what is B should be ?? note that i use attach photo as A.

Answer 1

[Matt J]

I'm pretty sure that

[V,D] = eig(A)

is smart enough to check whether your A matrix is Hermitian, but you could do

 [V,D] =eig(A, eye(size(A)), 'chol')

[Anas A.Salam]

thank you so much but i have another question ... when i had eigenvectors with complex number by other words how could i have eigenvectors content complex value (imaginary) thank you :)

[Matt J]

 imag(eigenvector)

[Anas A.Salam]

what is that mean ?? did you mean after i extract eigenvector i multiply it with my image ??

[Matt J]

No, the IMAG command will extract the complex part of an imaginary number or array

>> imag(2+3i)

ans =

       3

If this isn't what you want, you'll need to be clearer. Also, since I answered your original question, it would be appropriate for you to Accept-click it and post your new question in a separate thread dedicated to it.

[Anas A.Salam]

thank you for your declaration but i will ask in another clear way :) could i have complex eigenvectors from this image ?? yes or no if yes what is the way to have them ?? thank you

[Matt J]

If you're getting real eigenvectors right now, one way to obtain a complex ones is to multiply them by i=sqrt(-1). Remember that if v is an eigenvector, then so is c*v for any scalar, c, real or complex.

[Anas A.Salam]

thank you so much :)