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LinearMaps.md (284B)


      1 # Linear Map
      2 
      3 **Source:** Linear Algebra Done Right
      4 
      5 **Chapter:** 3
      6 
      7 **Definition:** A linear map is a function f : V -> W where V and W are vector spaces, that has the following properties:
      8 
      9 1. Additivity - T(u + v) = Tu + Tv
     10 2. Homogeneity - T(av) = a(Tv) for all a in F and v in V