MHB What is the basis for each eigenspace?

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saqifriends said:
https://www.physicsforums.com/attachments/215

Hi saqifriends, :)

Find the eigenvalues using the characteristic equation, \(|A-\lambda I|=0\). You will get, \(\lambda=2\pm 3i\). Then for each eigenvalue find the corresponding eigenvectors. The eigenvectors for a given eigenvalue define the eigenspace for that particular eigenvalue. Finally find a basis for each eigenspace.

Some worked examples similar to your problem can be found here. Hope you can continue.

Kind Regards,
Sudharaka.
 
Thread 'Derivation of equations of stress tensor transformation'
Hello ! I derived equations of stress tensor 2D transformation. Some details: I have plane ABCD in two cases (see top on the pic) and I know tensor components for case 1 only. Only plane ABCD rotate in two cases (top of the picture) but not coordinate system. Coordinate system rotates only on the bottom of picture. I want to obtain expression that connects tensor for case 1 and tensor for case 2. My attempt: Are these equations correct? Is there more easier expression for stress tensor...
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