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Math and science::Algebra

Projection matrix

Projection matrix

We wish to project the vector b onto the vector a. The projection matrix P achieves this by Pb, and is given by:

[P=?? ]

We expect that a projection matrix P:

  • [Is/Isn't] singular.
  • Has columns that [relate how to vector a?].
  • [Is/Isn't] symmetric.
  • Has eigenvalues [what scalars?] corresponding to vectors [what vectors?].