Question

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

Answer 1

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

Answer 2

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

Answer 3

linear algebra or dynamic systems class?

Answer 4

linear

Answer 5

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.

Answer 6

subspace is not the same as a subset

Answer 7

what?? its not?

Answer 8

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