The
number of distinct element in a basis is called dimension of vector space.
1-If a
basis of a vector space is a finite set containing n-elements then V is said to
be an n-dimensional vector space and we write
dim V=n
2- A
vector space V is said to be finite-dimensional if there exist a finite subset
S of V such that
L(S)=V
3- A
vector space which is not finitely generated is known as an infinite
dimensional vector space.
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