試題詳解

3、Let U and V be subspaces of Rⁿ and T be a linear transformation from Rⁿ to R^m. Which of the following sets is/are subspace(s) of Rⁿ?
(A) {a + b ∈ Rⁿ : a ∈ U and b ∈ V}.
(B) {a ∈ Rⁿ : a ∈ U or a ∈ V}.
(C) {a ∈ Rⁿ : a ∈ U and a ∈ V}.
(D) {a ∈ Rⁿ : T(a) = 0}.
(E) None of the above is true.