The Characterizations of WG Matrix and Its Generalized Cayley–Hamilton Theorem
Na Liu, Hongxing Wang · Journal of Mathematics · 2021
Based on the core-EP decomposition, we use the WG inverse, Drazin inverse, and other inverses to give some new characterizations of the WG matrix. Furthermore, we generalize the Cayley–Hamilton theorem for special matrices including the WG matrix. Finally, we give examples to verify these results.