For the last problem, you are to determine of if the given statement is true or false, and provide a short justification for your answer (for example, an argument showing it is true, or a counter-example if it is false).

problem 4 [1 pt] if u and w are subspaces of r n with u ⥠w, and dim(u) + dim(w) = n, then r n = u â w.