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satellite73Best ResponseYou've already chosen the best response.1
a raft of axioms that have to be satisfied, as well as a couple of operations
 one year ago

mykoBest 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.
 one year ago

UnkleRhaukusBest ResponseYou've already chosen the best response.0
which conditions, axioms, operations, are usually not common to vector spaces and sets
 one year ago

mykoBest ResponseYou've already chosen the best response.0
http://en.wikipedia.org/wiki/Vector_space
 one year ago

UnkleRhaukusBest ResponseYou've already chosen the best response.0
is the set of complex numbers a vector space?
 one year ago

UnkleRhaukusBest ResponseYou've already chosen the best response.0
what about the set on n dimensional matrices ?
 one year ago

UnkleRhaukusBest ResponseYou've already chosen the best response.0
n dimensional complex matrices ?
 one year ago

UnkleRhaukusBest ResponseYou've already chosen the best response.0
*^ n by n complex matrices ?
 one year ago

cuminBest 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.
 one year ago
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