FiniteDimensional.md (518B)
1 # Finite Dimensional 2 3 **Source:** Linear Algebra Done Right 4 5 **Chapter:** 2 6 7 **Definition:** A vector space is finite dimensional if it contains a list of vectors that span the space. 8 9 Finite dimensional is antithetical to infinite dimensional which is a vector space that does not contain a list of vectors that span the entire space. This can occur when we have a vector space that has an infinite number of coordinates, but since lists must be finite, we can't define a list of vectors that spans the entire space.