Recall that a subset V of R" is a subspace of two conditions hold: Condition (I): For all 7,7 in V one has 7+7 in V. Condition (II): For all 7 in V and all scalars e one has e ·7 in V. (a) Find a subset V of R2 such that condition (I) holds but condition (II) fails. (b) Find a subset V of R? such that condition (II) holds but condition (1) fails.

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