mrdivide

Solving $xA = B$ for $x$

Usage

x = mrdivide(B, A)

x = B / A

• It solves the system of linear equations $xA = B$ for $x$.
• A and B should be matrices having the same numbers of columns; otherwise, elementwise division B./A (or rdivide(B,A)) is performed if any of the following conditions is satisfied:

• If A is a square matrix, LU decomposition is used. It returns an error if A is singular. It reports a warning, and proceeds to compute a solution anyway, if the reciprocal of the condition number of A is less than eps * norm(A), i.e., A nearly singular or badly conditioned.
• If A is not square, QR decomposition is used to obtain a solution that minimises the error $\|xA-B\|_2$. It reports a warning, and proceeds to compute a solution anyway, if A is rank deficient.