What is the pseudoinvesre of a projection matrix?

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What is the pseudoinverse of a projection matrix $P$? By projection matrix $P$, I mean that $P^2 = P$, but maybe $P^Tnot = P$.



Denote the pseudoinverse of $P$ by $P^dagger$. What actually I am looking for is to construct the orthogonal projection $PP^dagger$ using the projection $P$.




linear-algebra linear-transformations




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    up vote
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    down vote

    favorite












    What is the pseudoinverse of a projection matrix $P$? By projection matrix $P$, I mean that $P^2 = P$, but maybe $P^Tnot = P$.



    Denote the pseudoinverse of $P$ by $P^dagger$. What actually I am looking for is to construct the orthogonal projection $PP^dagger$ using the projection $P$.




    linear-algebra linear-transformations




    share|cite|improve this question























      up vote
      1
      down vote

      favorite









      up vote
      1
      down vote

      favorite











      What is the pseudoinverse of a projection matrix $P$? By projection matrix $P$, I mean that $P^2 = P$, but maybe $P^Tnot = P$.



      Denote the pseudoinverse of $P$ by $P^dagger$. What actually I am looking for is to construct the orthogonal projection $PP^dagger$ using the projection $P$.




      linear-algebra linear-transformations




      share|cite|improve this question













      What is the pseudoinverse of a projection matrix $P$? By projection matrix $P$, I mean that $P^2 = P$, but maybe $P^Tnot = P$.



      Denote the pseudoinverse of $P$ by $P^dagger$. What actually I am looking for is to construct the orthogonal projection $PP^dagger$ using the projection $P$.





      linear-algebra linear-transformations





      share|cite|improve this question












      share|cite|improve this question




      share|cite|improve this question








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      Bashir Sadeghi

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