Question

i) Which one is a subset of W?
(a) z
(b) N
(c)Q
(d)E​

Answer 1

Answer:

Defintion. A subset W of a vector space V is a subspace if (1) W is non-empty (2) For every ¯v, ¯w ∈ W and a, b ∈ F, a¯v + b ¯w ∈ W. are called linear combinations. So a non-empty subset of V is a subspace if it is closed under linear combinations.