11.42.3 Can you answer these questions?

11.42.3.1 Eigenvectors of GSE with right properties
11.42.3.1 Eigenvectors of GSE with right properties

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=317131

I encountered a weird problem when trying to study a few properties of eigenvectors of matrices sampled from the Gaussian symplectic ensemble (GSE). I have encountered this while trying to understand ... 
[matrix] [random]
 
asked by Erosannin https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=73763 Score of 1