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Definition of span of a set of vectors
Geometric description of span of a set of vectors in R^n (or C^n)
Determine if a particular set of vectors spans R^3
Determine if a particular vector is in the span of a set of vectors
Determine if a particular vector is in the span of a set of vectors in R^2
Determine if a particular vector is in the span of a set of vectors in R^3
The span of a set of vectors is a subspace
Definition of spanning/generating set for a space or subspace
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A set of vectors containing fewer elements than the dimension of the space cannot span
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Definition of spanning/generating set for a space or subspace
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A set of vectors containing fewer elements than the dimension of the space cannot span