What can you tell me about vector space and linear algebra?

Answer by  willard (874)

A vector space is a collection of entities that have the property that if V1 and V2 are both members of the vector space, then aV1 + bV2 is also a member, regardless of the values of a and b. There are entire books written on the properties of vector spaces and linear algebra.

Answer by  UpwardBoundPrecalcTutor (128)

A vector space is a field covered(spanned) by a set of vectors. It can have multiple dimensions. The number of vectors in the smallest spanning set is called its dimention and the linearlyindependent vectors making up the smallestspanningset is called a basis for the vector space. vectors within a vector space satisfy algebraic-conditions suchas existance ofzerovector,vector addition, and scalarmultiplication.