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

Version	📄 Description
1.0.0	initial version