A simple excercise using R to check the results from the paper "EIGENVECTORS FROM EIGENVALUES" PETER B. DENTON, STEPHEN J. PARKE, TERENCE TAO, AND XINING ZHANG, and translating the work by Corey Chivers (http://predictivehealthcare.pennmedicine.org/Eigenvectors%20from%20Eigenvalues.html)
You can see the output HTML document at: https://htmlpreview.github.io/?https://github.com/jmcastagnetto/eigenvector-from-eigenvalues/blob/main/eigenvectors-from-eigenvalues.html