Suppose that W = span{V₁, V2, V3} where each v; is in R³. Consider the following statements. (i) If x is in W then x = C₁V₁1 +

Question

Suppose that W = span{V₁, V2, V3} where each v; is in R³. Consider the following
statements.
(i) If x is in W then x = C₁V₁1 + C2V2 + C3V3 for some scalars C1, C2, C3.
(ii) 3v₁ - 2v2 is in W.
(iii) W is a subspace of R³.
Which of the above statements are always true?
(a) (i) only
(b) (ii) only
(c) (ii) and (iii) only
(d) (i) and (ii) only
(e) (i), (ii), and (iii)

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