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Krishna Shukla posted an Question
February 21, 2021 • 19:26 pm
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30 points
30 points
- IIT JAM
- Mathematics (MA)
How l(phi)=0
how the linear span L(phi)=0 please explain it......{ in image focus on "Note"}
2 Answer(s)
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Satpal singh
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1. A span of a set of vectors is also the intersection of all subspaces containing the set. Thus clearly the span of the emptyset is {0}. 2. Another way of thinking about it is to consider the dimension. If you take 1 vector it spans a 1-dimensional vector space. If you take 2 non-colinear vectors it spans a 2 dimensional vector space. n independent vectors span an n-dimensional vector space. So the set of 0 vectors ought to span a vector space of dimension 0 which is just {0}.
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Piyush pachauri
It is defined to be zero.
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Piyush pachauri
Any doubt then you can ask
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Piyush pachauri
pfa
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Satpal singh![best-answer]()
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