When studying vector spaces, what do it mean for a vector space to be closed under addition and closed under multiplication

Question

anonymous · Answer

it means that when you add/multiply vectors from that vector space, the result is vectors from that same vector space.

anonymous · Answer

okay i understand.  Woul you mind explaing what vector subspaces are?

anonymous · Answer

linear algebra or dynamic systems class?

anonymous · Answer

linear

anonymous · Answer

sorry got called away. a subspace is just a subset of a vector space.  every vector space has at least two subspaces, itself and the null vector.

anonymous · Answer

subspace is not the same as a subset

anonymous · Answer

what?? its not?

anonymous · Answer

how 'bout this...
a subspace is a subset of all the set of vectors in a vector space.