I'm pretty new to Linear Algebra and I have started on Vector Spaces. I understand that a Vector space V over the set of real numbers is a set equipped with two operations, namely vector addition and scalar multiplication which follow the rules of algebra.
Now I'm stuck on one definition, specifically the vector subspace which goes as follows:
Let V be a vector space. A vector subspace W is a subset of vector V, which is itself a vector space, with vector addition and scalar multiplication in W being the restrict of those operations in V.
I understand that W is also a vector space and it also follows vector addition and scalar multiplication. The part that I do no understand is this:
"being the restrict of those operations in V"
What does the definition mean by that? I apologize in advance if the question is irrelevant, but I'm sure I'm not getting it because I don't really speak English.