Linear Algebra, Part 5: Projection Operators (Mathematica) es

Projection Operators

   
Example 2: Let us consider a unit vector nn and define a linear map pn : ℝn ⇾ ℝn by \[ p_n (\mathbf{u}) = \left( \mathbf{n} \bullet \mathbf{u} \right) \mathbf{n} . \tag{2.1} \]
RJB
Figure 1: Decomposing a vector u into a component u∥ along a unit vector n and a component u⊥ orthogonal to n.
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End of Example 2
   
Example 6:
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End of Example 6
   
Example 6:
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End of Example 6

 

 

  1. Axler, Sheldon Jay (2015). Linear Algebra Done Right (3rd ed.). Springer. ISBN 978-3-319-11079-0.
  2. Halmos, Paul Richard (1974) [1958]. Finite-Dimensional Vector Spaces (2nd ed.). Springer. ISBN 0-387-90093-4.