A Relational Database Management System (RDBMS) allows for the creation, updating, and administration of databases using Structured Query Language (SQL). Developed by E.F. Codd in the 1970s, RDBMS organizes data in tables with relationships between them, offering advantages such as data integrity and multi-user access, though it also has drawbacks including high licensing costs and the need for specialized training. Popular examples include Oracle, IBM's DB2, and Microsoft SQL Server.