22.Let A ∈ , denote the column space of A, denote the null space of A,and dim(S) denote the dimens

問題詳情

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

答案：[無官方正解]
難度：計算中-1
書單：沒有書單，新增