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Determine if a particular vector is in the span of a set of vectors in R^3
Definition of spanning/generating set for a space or subspace
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
The span of a set of vectors is a subspace

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Definition of span of a set of vectors

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SpansClose match
The span of a set of vectors is a subspaceClose match
Definition of subspace spanned by a set of a set of vectorsClose match
Definition of spanning/generating set for a space or subspaceClose match
Geometric description of span of a set of vectors in R^n (or C^n)Close match
Definition of linear combination of vectorsClose match
The image of a spanning set spans the rangeClose match
Determine if a particular vector is in the span of a set of vectors in R^2Close match
Determine if a particular vector is in the span of a set of vectorsClose match
Determine if a particular vector is in the span of a set of vectors in R^3Close match
A set of nonzero vectors contains (as a subset) a basis for its span.Close match
Definition of basis of a vector space (or subspace)Close match
A set of vectors containing fewer elements than the dimension of the space cannot spanClose match
A set is a basis if each vector can be written uniquely as a linear combination.Close match
Removing a linearly dependent vector from a set does not change the span of the set.Close match
Determine if a particular set of vectors spans R^3Close match
Definition of subspaceClose match
Definition of dimension of a vector space (or subspace) being finite or infiniteClose match
A set of vectors containing more elements than the dimension of the space must be linearly dependentClose match
Definition of sum of subspacesRelated

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