Dive into a comprehensive 36-minute video lecture on elementary row operations (EROs) in linear algebra, presented by University of Oxford mathematician Dr. Tom Crawford. Learn how to solve systems of linear equations using matrices and EROs, starting with substitution and elimination methods for a 3x3 system. Explore the conversion of equations into matrix form and master the three types of elementary row operations. Work through examples demonstrating underdetermined systems with infinite solutions and inconsistent systems with no solutions. Benefit from a concise summary at the end and access additional practice materials, including workbooks and video solutions, to reinforce your understanding of algebraic equations and systems of linear equations.