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UnkleRhaukus
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What is the difference between a vector space and a set.
 2 years ago
 2 years ago
UnkleRhaukus Group Title
What is the difference between a vector space and a set.
 2 years ago
 2 years ago

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satellite73 Group TitleBest ResponseYou've already chosen the best response.1
a raft of axioms that have to be satisfied, as well as a couple of operations
 2 years ago

myko Group TitleBest ResponseYou've already chosen the best response.0
a set in general is just a collection of "objects" with or without any condition imposed on the members of the set. Vector space is also kind of set, but with special condition to be satisfied by the elements that belong to it.
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
which conditions, axioms, operations, are usually not common to vector spaces and sets
 2 years ago

myko Group TitleBest ResponseYou've already chosen the best response.0
http://en.wikipedia.org/wiki/Vector_space
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
is the set of complex numbers a vector space?
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
what about the set on n dimensional matrices ?
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
n dimensional complex matrices ?
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
are you sure
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
*^ n by n complex matrices ?
 2 years ago

cumin Group TitleBest ResponseYou've already chosen the best response.0
can you add 2 by n complex matrices and get an n by n complex matrix? can you multiply an n by n complex matrix by a scalar (a real number would be a simple scalar to use here maybe) and get an n by n complex matrix as a result? If the answer is yes to both questions, I think that means that n by n complex matrices make up a vector space. If I am wrong I would like to be corrected.
 2 years ago
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