Let's make things a little harder. Your friends in chemistry are observing a chemical reaction which involves the following types of molecules H₂O, VO₂CI, NH₄CI, NH₄OH, NH₄V0₃. Your mission is to help them find all possible balanced equations involving these molecules ( using linear algebra, of course). By doing so you are telling your friends what the possible reactions between these molecules are. Bit of a tricky one because I am not telling your how the molecules are distributed on the two sides of the equation.