|Born||June 1, 1924|
|Died||March 24, 1982
|Alma mater||Murray State University 1949|
|Coaching career (HC unless noted)|
|?-1954||Murray State (assistant)|
|1958-?||Murray State (assistant)|
|Head coaching record|
An assistant under Harlan Hodges, Alexander was promoted to head coach in 1954 after Hodges left MSU for Idaho and former North Carolina head coach Tom Scott turned down the job. In his four seasons at Murray State, Alexander had a 45–54 record and no tournament appearances. He was replaced by DePauw University head coach Cal Luther on March 5, 1958, but stayed on as an assistant coach. He was inducted into the Murray State Athletics Hall of Fame in 2000.
- "Alexander Named Basketball Coach at Murray State". Chicago Tribune. June 2, 1954.
- "Murray Names Luther". Park City Daily News. March 5, 1958. Retrieved March 19, 2010.
- "Western Cage Signee". Daily News. May 14, 1971. Retrieved March 19, 2010.
- "Rex Alexander". Murray State University Athletics. Retrieved December 27, 2016.