Explicit Representations

  • Haruo Yanai
  • Kei Takeuchi
  • Yoshio Takane
Part of the Statistics for Social and Behavioral Sciences book series (SSBS)


In this chapter, we present explicit representations of the projection matrix PV ¢W and generalized inverse (g-inverse) matrices given in Chapters 2 and 3, respectively, when basis vectors are given that generate \( V = Sp(A)\)and\( W = Sp(B),where,E^n = V \oplus W \)


Orthogonal Projector Explicit Representation Projection Matrix Generalize Inverse Arbitrary Vector 
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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Department of StatisticsSt. Luke’s College of NursingTokyoJapan
  2. 2.KamakurashiJapan
  3. 3.Department of PsychologyMcGill UniversityMontrealCanada

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