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Nilanjan Bhowmick AIR 3, CSIR NET (Earth Science)
Sudhanshu Ranjan posted an Question
August 29, 2020 • 04:49 am
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30 points
30 points
- CSIR NET
- Mathematical Sciences
Let a and b be two subspaces of vector space v. show that span of intersection of a and b is contained in the intersection of the span (a) and span (b).
Let A and B be two subspaces of vector space V. Show that span of intersection of A and B is contained in the intersection of the span (A) and Span (B).
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Shashi ranjan sinha![best-answer]()
but converse is not true. Take A = { (1,0), (0,1)} and B ={ (-1,0),(0,-1)} . Intersection of A and B is empty and so the subspace spanned by it is zero subspace of R². On the other hand, Span(A) = span(B) = R² and so their intersection is R². clearly R² is not contained in zero space