Examples of Linear Transformation
      Matrix of a Linear transformation .
      For an an ordered basis  of the domain space
      and an ordered basis of the range space ,

      and ,

      then the matrix of with respect to these basis is given by :


      Geometrically , can be obtained as follows :
      1. Draw .
      2. Through , draw the direction line.
      3. Draw line through A parallel to direction of .  Let it meet at B.
      Then  .

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