Is The Union Of Subspaces A Subspace? In general, the union of two subspaces of R^n is not a subspace. … (More generally, the union of two subspaces is not a subspace unless one is contained in the other. One can check that if v is in V and not in W and w is
What Is The Largest Possible Rank? The largest possible rank of an m by n matrix is the minimum value of m and n. The largest possible rank gives the smallest possible nullity. (a) Since A is 4 by 4 the largest possible rank is 4, the smallest possible nullity is 0. What is the
Can 3 Vectors In R5 Be Linearly Independent? Can 3 vectors in R5 be linearly independent? This is FALSE. In a vector space of dimension n every linearly independent sequence (or set) of vectors has at most n elements. Since R5 has dimension 5, it does not have more than 5 linearly independent vectors. Can