How to solve the pivoting matrix for row reduction?

Suppose A is singular and B is the row echelon form for A, we have a pivoting matrix M such that M*A=B, is there an easy command to find M? Thanks!

Answer 1

[Prasanna Konyala]

Given a singular matrix (A) and its row echelon form (B), pivoting matrix (M) can be computed by right matrix division,

ie, M = A/B.

If the echelon matrix is not given, you can use "rref" function to compute the reduced echelon form of the matrix.Since reduced echelon form is also an echelon form it can be used to compute the pivoting matrix.

Refer this document to know more about "rref" function.