Consider vector space ℝ3 (ℝ). Which of the following subsets are subspace of the given vector space. I. = {(, , ) ∶ 7 + 9 = 5 + 1} II. = {(, , 3 ) ∶ , , ∈ ℝ}.
Answers
Answered by
1
Answer:
The correct answers are (a) and (c). My reasoning is as follows. Any subspace of R3 must contain the same zero vector and have the same vector operations as R3 (vector addition and scalar multiplication).
Similar questions