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5:03
YouTube
Dr. Trefor Bazett
The Span is a Subspace | Proof + Visualization
The Span of two vectors - ie all linear combinations of them - turns out to be a subspace. That is, it is closed under scalar multiplication, vector addition, and contains the zero vector. Geometrically, it sweeps out a plane (except if the vectors are multiplies of one another or the zero vector ...
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