Constrained linear least-squares for xA=b in matlab

Question

I want to solve xA=b with constraint 0<=x for x.

I found functions like lsqnonneg and lsqlin which solves for Ax=b. However, couldn't find a good way to solve for xA=b.

How can I solve xA=b with non-negative x constraint?

Answer 1

As David commented, it is straightforward to show that

so you can use standard methods to solve the problem with A' and b' and then transpose the answer.