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Explicit Representations

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

Abstract

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\( W = Sp(B),where,E^n = V \oplus W \)

Keywords

Orthogonal Projector Explicit Representation Projection Matrix Generalize Inverse Arbitrary Vector 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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