The discussion centers on the concept of vector spanning in linear algebra, specifically addressing whether three vectors (v1, v2, v3) can span the four-dimensional space R4. It is established that three vectors cannot span R4 due to the dimensionality requirement, as a minimum of four linearly independent vectors is necessary to span a four-dimensional space. The conclusion is definitive: any set of three vectors will not span R4.
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hydralisks said:If a question asks "does v1, v2, v3 span R4"
can i just say no, regardless of what v1 v2 v3 is
because v1 v2 and v3 is just 3 dimensions while R4 needs 4 dimensions?