<< rcond

Linear algebra

rsf2csf >>

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rref

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Gauss-Jordan elimination.

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Syntax

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R = rref(A)

R = rref(A, tol)

[R, p] = rref(A)

[R, p] = rref(A, tol)

Input argument

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A

input matrix (double or single)

tol

tolerance: scalar or max(rows, cols) * eps(class(A)) * norm(A, inf) (default)

Output argument

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R

a matrix: reduced row echelon form of A.

p

a vector: nonzero pivot columns.

Description

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

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

Bibliography

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

Example

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

See also

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rank.

History

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Version	Description
1.0.0	initial version

Author

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Allan CORNET