Eze was born on October 13, 1956, in Onitsha, Anambra, Nigeria, to the family of Clement Diwoha and Grace Martha Ezejimadu.
He became a full professor of physics in 2003, and was elected as vice chancellor of Federal University of Technology, Owerri in 2016, after serving in various administrative positions in the school.
Eze is very active in quality research in experiential solid-state physics and materials science, thin solid films, renewable energy and corrosion inhibition using local herb extracts.
[citation needed] He has also served on the technical committee on developing curricula for postgraduate training in nuclear science and engineering sponsored by NAEC.
In a 2017 published paper entitled, Characteristics of Nanocrystallite-CdS Produced by Low-Cost Electrochemical Technique for Thin Film Photovoltaic Application: The Influence of Deposition Voltage, Eze studied the characteristics of five nanocrystallite-CdS thin films within a timed environment.