A complex vector space is a vector space whose field of scalars is the complex numbers. A linear transformation between finite-dimensional complex vector spaces is given, after choosing vector bases, by a matrix whose entries are complex numbers (i.e., a complex matrix).
Complex Vector Space
See also
Complex Structure, Linear Transformation, Real Vector Space, Vector Basis, Vector SpacePortions of this entry contributed by Todd Rowland
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Cite this as:
Weisstein, Eric W., with contributions by Todd Rowland. "Complex Vector Space." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/ComplexVectorSpace.html