- #1

Drakkith

Staff Emeritus

Science Advisor

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## Main Question or Discussion Point

I'm trying to figure out something regarding the span of a set of vectors. Say we have a set of vectors ##V=\{v_1, v_2, ... v_k\}## in ℝ

^{n}. If k < n then the set does*not*span ℝ^{n}. Why is this? Are there vectors in ℝ^{n}that aren't combinations of the vectors in ##V##?