rref2

rref2, a MATLAB code which involves a user-written approach to compute the reduced row echelon form (RREF) of a matrix, which can be used to analyze matrices which are square or rectangular, singular or invertible.

MATLAB supplies the built-in function rref(), which should ordinarily be preferred to this code.

Licensing:

The information on this web page is distributed under the MIT license.

Languages:

rref2 is available in a C version and a C++ version and a Fortran90 version and a MATLAB version and an Octave version and a Python version and an R version.

Related Data and Programs:

rref2_test

i4mat_rref2, a MATLAB code which computes a version of the reduced row echelon form (RREF) of an integer matrix.

row_echelon_integer, a MATLAB code which carries out the exact computation of the integer row echelon form (IREF) and integer reduced row echelon form (IRREF) of an integer matrix.

rref_test, a MATLAB code which calls rref(), which is a built-in function for the reduced row echelon form (RREF) of a matrix, which can be singular or rectangular.

Reference:

1. Charles Cullen,
   Linear Algebra with Applications,
   Second Edition,
   Pearson, 1997,
   ISBN: 978-0673993861.
2. Charles Cullen,
   An Introduction to Numerical Linear Algebra,
   PWS Publishing Company, 1994,
   ISBN: 978-0534936903,
   LC: QA185.D37.C85.

Source Code:

• rref_columns.m, returns the linearly independent columns of a matrix using the RREF.
• rref_compute.m, given a matrix, computes the reduced row echelon form or RREF.
• rref_determinant.m, computes the determinant of a matrix using the RREF.
• rref_inverse.m, computes the inverse of a matrix using the RREF.
• rref_rank.m, determines the rank of a matrix using the RREF.
• rref_solve.m, solves a linear system involving a matrix using the RREF.