Definition
Dimension (Vector Space)
Let
be a vector space. The dimension of is the cardinality of any basis of : A vector space is finite-dimensional if it has a finite basis; otherwise it is infinite-dimensional.
Dimension (Vector Space)
Let
be a vector space. The dimension of is the cardinality of any basis of : A vector space is finite-dimensional if it has a finite basis; otherwise it is infinite-dimensional.