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Edited by: Editorial Board of Journal of Data Acquisition and Processing
P.O. Box 2704, Beijing 100190, P.R. China
Sponsored by: Institute of Computing Technology, CAS & China Computer Federation
Undertaken by: Institute of Computing Technology, CAS
Published by: SCIENCE PRESS, BEIJING, CHINA
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      09 May 2023, Volume 38 Issue 3
    Article

    CONSTRUCTING ORTHOGONALITY AND DUAL CODE APPLICATION
    Abdel Radi Abdel Rahman Abdel Gadir Abdel Rahman1 and Naseam Alkuleab2
    Journal of Data Acquisition and Processing, 2023, 38 (3): 1375-1393 . 

    Abstract

    We aim to construct an orthogonal matrix Q that transform a given column of A-call itx into the corresponding column of R-call it y. For this we found ‖x‖ =‖Qx‖ =‖y‖.We extended the notation of orthogonal projection that we explained it we also discussed only projection onto a single vector (or, equivalently,the one dimensional subspace spanned by that vector).We saw that we can find the analogous formulas for projection onto a plane in 〖IR.〗^3The orthogonality is becoming an important mathematical tools in linear algebra, there are many ways of constructing new cods from old ones.Here ,we consider one of the most.

    Keyword

    Orthogonality , orthogonal matrix , Dual Code Application , orthogonal projection .


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ISSN 1004-9037

         

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