A real vector space is a vector space whose field of scalars is the field of reals. A linear transformation between real vector spaces is given by a matrix with real entries (i.e., a real matrix).
Real Vector Space
See also
Complex Vector Space, Linear Transformation, Real Normed Algebra, Vector Basis, Vector SpaceExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Real Vector Space." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/RealVectorSpace.html