複選題22.Let A ∈ , denote the column space of A, denote the null space of A,and dim(S) denote the dimension of a subspace S. Which of the following statements are true?(A) For any x ∈ , there exists u∈ and v ∈ such that x = u + v.(B) Suppose u ∈ and v ∈ . Then = 0.(C) dim+ dim = n(D) For any y ∈ , there exists x ∈ such that y =.(E) Ify ∈ , then y is the zero vector in .