I agree with @tilak‘s post. I think that the matrix organization will allow for a more open communication between staffs of each company which will result in a clearer, defined goals in which everyone involved will be on the same page all throughout the completion of the project. I also agree that there will be an indirect system of checks and balances so people will be working nicely with one another without feeling overpowered or favored by the other company. These type of issues can be the cause of the project to fail which can be costly for both companies.