Projection matrix

  • Thread starter squenshl
  • Start date
479
4
I know that P = A(ATA)-1AT for a projection matrix.
I was just wanting to know how to describe the matrix A as general as possible. For example do the columns and rows of A have to be linearly independant?
Also I know that P = BBT is the projection matrix but how could I describe B as well.
 
305
2
The columns of A have to be linearly independent (so that A^T A is invertable). There's an alternate projection operator for linearly dependent rows. Sounds like B B^T is only a projector if A^{-1} = A^T.
 
479
4
Does anyone think the dimension of the column space & the dimension of the rowspace or rank or anything like that has any validation.
 

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