Let U be a subset of a vector space V. Show that spanU is the intersection...

Let U be a subset of a vector space V. Show that spanU is the intersection of all the subspaces of V that contain U. What does this say if U=∅? Need proof

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Expert Solution

in last W is a zero subspace of V and every subspace must contain zero so the intersection off all subspace contains zero and contained in W which is a zero subspace .there for the intersection must be a zero space is equal to spanU

Colby Messinger answered 1 year ago

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