What is the unique row-equivalent matrix form that is in echelon form, has leading ones in each non-zero row, and has zeros above and below those leading ones?
Show answer
Reduced Row Echelon Form
While Row Echelon Form is not unique, the Reduced Row Echelon Form (RREF) of any matrix is unique. This form is the final result of Gauss-Jordan elimination and is used to solve systems of linear equations and determine the rank of a matrix.
Also asked as:
- What unique matrix form is achieved when a matrix is in echelon form, leading entries are 1, and those 1s are the only non-zero entries in their respective columns?