Finding Reduced Row Echelon Form

The Reduced Row Echelon Form, often abbreviated as RREF, is a form of a matrix that is designed to simplify the process of solving linear equations. This simplified form is obtained through a method known as Gauss-Jordan elimination, which involves operations such as swapping, scaling or adding rows. Key features of the RREF include leading coefficients that are equal to one, zeroes positioned both above and below these leading coefficients, and columns where the leading coefficients are the sole non-zero entries.