How would you determine the normalised molecular orbital coefficients of butadiene using the eigenvector of the Huckel matrix for the lowest energy orbital?

Physical Chemistry
2nd Edition
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Ball, David W. (david Warren), BAER, Tomas
Chapter12: Atoms And Molecules
Section: Chapter Questions
Problem 12.62E: Use molecular orbital arguments to decide whether or not the difluoride dianion, F22, should exist...
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How would you determine the normalised molecular orbital coefficients of butadiene using the eigenvector of the Huckel matrix for the lowest energy orbital? 

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