rref

Arguments

A

m x n matrix with scalar entries

R

m x n matrix,row echelon form of a

Description

rref computes the row echelon form of the given matrix by left lu decomposition. If ones need the transformation used just call X=rref([A,eye(m,m)]) the row echelon form R is X(:,1:n) and the left transformation L is given by X(:,n+1:n+m) such as L*A=R

Examples

A=[1 2;3 4;5 6];
X=rref([A,eye(3,3)]);
R=X(:,1:2)
L=X(:,3:5);L*A

See also

• lu — LU factorization with pivoting
• qr — QR decomposition