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All about the ⊥ with its applications in the linear statistical models

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For an n x m real matrix A the matrix A⊥ is defined as a matrix spanning the orthocomplement of the column space of A, when the orthogonality is defined with respect to the standard inner product ⟨x, y⟩ = x'y. In this paper we collect together various properties of the ⊥ operation and its applications in linear statistical models. Results covering the more general inner products are also considered. We also provide a rather extensive list of references
Opis fizyczny
  • Department of Mathematical and Statistical Methods, Pozna´n University of Life Sciences, Wojska Polskiego 28, PL-60637 Poznan, Poland,
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