Abstract
In this paper, we prove several conjectures raised by Zhi-Wei Sun on determinants and permanents by the eigenvectors-eigenvalues identity recently highlighted by Denton, Parke, Tao and Zhang.
2020 Mathematics Subject Classifications:
Acknowledgments
The authors are deeply grateful to Zhi-Wei Sun and Keqin Liu for very helpful discussions. They also would like to thank the referee for many valuable comments and suggestions.
Disclosure statement
No potential conflict of interest was reported by the author(s).