rref

Gauss-Jordan elimination.

Syntax

  • R = rref(A)

  • R = rref(A, tol)

  • [R, p] = rref(A)

  • [R, p] = rref(A, tol)

Input argument

  • A - input matrix (double or single)

  • tol - tolerance: scalar or max(rows, cols) _ eps(class(A)) _ norm(A, inf) (default)

Output argument

  • R - a matrix: reduced row echelon form of A.

  • p - a vector: nonzero pivot columns.

Description

R = rref(A) returns the reduced row echelon form of A.

[R, p] = rref(A) returns also the nonzero pivots p.

Bibliography

https://en.wikipedia.org/wiki/Gaussian_elimination

Example

A = [magic(4), eye(4)]
[R, p] = rref(A)

See also

rank.

History

VersionDescription

1.0.0

initial version

Author

Allan CORNET

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