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All linear combinations of a set of vectors in a given subspace is known by a specific term. This is the linear subspace that contains the set ‘S’. It can be characterized either as the intersection of all linear subspaces that contain S, or as the set of liner combinations of elements of S.

Q & A › All linear combinations of a set of vectors in a given subspace is known by a specific term. This is the linear subspace that contains the set ‘S’. It can be characterized either as the intersection of all linear subspaces that contain S, or as the set of liner combinations of elements of S.
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Admin Staff asked 4 years ago

All linear combinations of a set of vectors in a given subspace is known by a specific term. This is the linear subspace that contains the set ‘S’. It can be characterized either as the intersection of all linear subspaces that contain S, or as the set of liner combinations of elements of S.

a.Space
b.Linear combination
c.Span
d.Shape

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Admin Staff answered 4 years ago

c.Span