Reduced row echelon form

Reduced row echelon form (RREF) is a specific way of arranging a matrix (a grid of numbers) to make solving systems of equations easier. In RREF, each leading number in a row is 1, and is the only non-zero number in its column. Rows with all zeros are at the bottom. This form reveals solutions directly, whether they are unique, infinite, or none, by clearly showing relationships between variables. Essentially, RREF is a standardized, simplified version of a matrix that highlights its essential information, making it straightforward to interpret and solve the associated equations.