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Vector Space



To show V is a vector space we must show the following

1) Addition is associative
 
 
2) Addition is commutative
 
 
3) Existence of an additive identity
  such that
 
 
4) Existence of an additive inverse
  such that
 
 
5) Scalar multiplication is distributive over addition
  For any
              
              
              
6) For any
              
              =
              
7) For any
              
              
              
8) Such that