Graduate Why are the eigenvectors of this hermitian matrix not orthogonal?

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The discussion focuses on the issue of eigenvectors of a Hermitian matrix not being orthogonal despite having distinct eigenvalues. The user expresses frustration with repeated miscalculations from ChatGPT and their own inability to identify the error in their work. They seek assistance in resolving the issue. A suggestion is made to repost calculations in LaTeX for clarity. The thread ultimately concludes with a note on moderation.
rghurst
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TL;DR
I am unable to show that the eigenvectors are orthogonal.
Why are the eigenvectors of this hermitian matrix not checking out as orthogonal? The eigenvalues are certainly distinct. ChatGPT also is miscalculating repeatedly. I have checked my work many times and cannot find the error. Kindly assist.
 

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rghurst said:
TL;DR Summary: I am unable to show that the eigenvectors are orthogonal.

Why are the eigenvectors of this hermitian matrix not checking out as orthogonal? The eigenvalues are certainly distinct. ChatGPT also is miscalculating repeatedly. I have checked my work many times and cannot find the error. Kindly assist.
Don't rely on ChatGPT and please repost your calculation attempt in LaTeX so it's readable and quotable.
 
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Thread closed for Moderation.
 
Thread 'How to define a vector field?'

Thread 'How to define a vector field?'

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