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5.56.3 Gauss-Jordan reduction: rref gaussjord

The reduced row echelon form of a matrix is the row echelon form (see previous section) with 0s above the leading 1s in each row. Gauss-Jordan reduction will turn any matrix into reduced row echelon form, and the reduced row echelon form of a matrix is unique. If the matrix is the augmented matrix of a system, then the reduced row echelon form of the matrix is the simplest form to solve the system. The rref command finds the reduced row echelon form of a matrix (see also Section 5.34.17).

Examples


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