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Linear algebra question about subspaces
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[QUOTE="CompuChip, post: 4529292, member: 81086"] Yes and yes. It is in [b]R[/b]³ for the reason you state. However, this only means that the given set is a sub[i]set[/i] of [b]R[/b]³, but you are asked to show that it is a sub[i]space[/i], i.e. a subset which is a vector space in its own right. For that, it needs to satisfy some additional demands, for example that if you add two vectors in the subset, the result is again in the subset. Therefore, the answer to your second question is also yes. [/QUOTE]
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Linear algebra question about subspaces
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