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anonymous
 5 years ago
I want to show that Nullspace (normed space) is a vector space. can someone help
anonymous
 5 years ago
I want to show that Nullspace (normed space) is a vector space. can someone help

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0null spaces are defined reference to some linear transformation

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yes. I mean a linear transformation on a normed vector space

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so u want to show it a subspace?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0the condition is, for x,y in space n a, b scalars ax+by must belong to the space...right?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i think so, if that is enough to show

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0then \[T ( x )= T ( y ) = 0\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0T (ax + by) = a T(x) +bT(y) using the linarity

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0T (ax + by) = a T(x) +bT(y)=0 showing that ax + by is in N

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so N is the vector subspace
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