Question: Let D, I, and X denote finite, nonempty sets of vectors in a vector space V. Assume that D is dependent and / is independent.

Let D, I, and X denote finite, nonempty sets of vectors in a vector space V. Assume that D is dependent and / is independent. In each case answer yes or no, and defend your answer.
(a) If X ⊆ D, must X be dependent?
(b) If X ⊆ J, must X be independent?

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